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Finding the Third Proportional to 61,516.13 and 134,105.63

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Solution

The third proportional to 61,516.13 and 134,105.63 is: 292,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,516.13 : 134,105.63 = 134,105.63 : x
  2. Step 2: Convert to fraction form
    61,516.13/134,105.63 = 134,105.63/x
  3. Step 3: Cross multiply
    61,516.13x = 134,105.63 × 134,105.63
  4. Step 4: Simplify right side
    61,516.13x = 17,984,318,656.64
  5. Step 5: Solve for x
    x = 17,984,318,656.64/61,516.13
  6. Step 6: Final answer
    x = 292,351.29

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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.