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Finding the Third Proportional to 75,268.88 and 103,210.50

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Solution

The third proportional to 75,268.88 and 103,210.50 is: 141,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,268.88 : 103,210.50 = 103,210.50 : x
  2. Step 2: Convert to fraction form
    75,268.88/103,210.50 = 103,210.50/x
  3. Step 3: Cross multiply
    75,268.88x = 103,210.50 × 103,210.50
  4. Step 4: Simplify right side
    75,268.88x = 10,652,407,310.25
  5. Step 5: Solve for x
    x = 10,652,407,310.25/75,268.88
  6. Step 6: Final answer
    x = 141,524.73

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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.