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Finding the Third Proportional to 61,165.69 and 134,359.88

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Solution

The third proportional to 61,165.69 and 134,359.88 is: 295,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,165.69 : 134,359.88 = 134,359.88 : x
  2. Step 2: Convert to fraction form
    61,165.69/134,359.88 = 134,359.88/x
  3. Step 3: Cross multiply
    61,165.69x = 134,359.88 × 134,359.88
  4. Step 4: Simplify right side
    61,165.69x = 18,052,576,010.02
  5. Step 5: Solve for x
    x = 18,052,576,010.02/61,165.69
  6. Step 6: Final answer
    x = 295,142.21

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.