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Finding the Third Proportional to 61,602.75 and 132,407.44

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Solution

The third proportional to 61,602.75 and 132,407.44 is: 284,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,602.75 : 132,407.44 = 132,407.44 : x
  2. Step 2: Convert to fraction form
    61,602.75/132,407.44 = 132,407.44/x
  3. Step 3: Cross multiply
    61,602.75x = 132,407.44 × 132,407.44
  4. Step 4: Simplify right side
    61,602.75x = 17,531,729,505.32
  5. Step 5: Solve for x
    x = 17,531,729,505.32/61,602.75
  6. Step 6: Final answer
    x = 284,593.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.