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Finding the Third Proportional to 59,638.78 and 129,796.17

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Solution

The third proportional to 59,638.78 and 129,796.17 is: 282,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,638.78 : 129,796.17 = 129,796.17 : x
  2. Step 2: Convert to fraction form
    59,638.78/129,796.17 = 129,796.17/x
  3. Step 3: Cross multiply
    59,638.78x = 129,796.17 × 129,796.17
  4. Step 4: Simplify right side
    59,638.78x = 16,847,046,233.40
  5. Step 5: Solve for x
    x = 16,847,046,233.40/59,638.78
  6. Step 6: Final answer
    x = 282,484.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.