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Finding the Third Proportional to 75,271.50 and 103,216.13

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Solution

The third proportional to 75,271.50 and 103,216.13 is: 141,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,271.50 : 103,216.13 = 103,216.13 : x
  2. Step 2: Convert to fraction form
    75,271.50/103,216.13 = 103,216.13/x
  3. Step 3: Cross multiply
    75,271.50x = 103,216.13 × 103,216.13
  4. Step 4: Simplify right side
    75,271.50x = 10,653,568,460.02
  5. Step 5: Solve for x
    x = 10,653,568,460.02/75,271.50
  6. Step 6: Final answer
    x = 141,535.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.