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Finding the Third Proportional to 53,517.38 and 83,340

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Solution

The third proportional to 53,517.38 and 83,340 is: 129,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,517.38 : 83,340 = 83,340 : x
  2. Step 2: Convert to fraction form
    53,517.38/83,340 = 83,340/x
  3. Step 3: Cross multiply
    53,517.38x = 83,340 × 83,340
  4. Step 4: Simplify right side
    53,517.38x = 6,945,555,600
  5. Step 5: Solve for x
    x = 6,945,555,600/53,517.38
  6. Step 6: Final answer
    x = 129,781.32

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.