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Finding the Third Proportional to 75,344.25 and 103,312.13

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Solution

The third proportional to 75,344.25 and 103,312.13 is: 141,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,344.25 : 103,312.13 = 103,312.13 : x
  2. Step 2: Convert to fraction form
    75,344.25/103,312.13 = 103,312.13/x
  3. Step 3: Cross multiply
    75,344.25x = 103,312.13 × 103,312.13
  4. Step 4: Simplify right side
    75,344.25x = 10,673,395,172.02
  5. Step 5: Solve for x
    x = 10,673,395,172.02/75,344.25
  6. Step 6: Final answer
    x = 141,661.71

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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.