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Finding the Third Proportional to 59,085.28 and 129,649.78

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Solution

The third proportional to 59,085.28 and 129,649.78 is: 284,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,085.28 : 129,649.78 = 129,649.78 : x
  2. Step 2: Convert to fraction form
    59,085.28/129,649.78 = 129,649.78/x
  3. Step 3: Cross multiply
    59,085.28x = 129,649.78 × 129,649.78
  4. Step 4: Simplify right side
    59,085.28x = 16,809,065,778.17
  5. Step 5: Solve for x
    x = 16,809,065,778.17/59,085.28
  6. Step 6: Final answer
    x = 284,488.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.