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Finding the Third Proportional to 61,160.06 and 86,128.31

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Solution

The third proportional to 61,160.06 and 86,128.31 is: 121,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,160.06 : 86,128.31 = 86,128.31 : x
  2. Step 2: Convert to fraction form
    61,160.06/86,128.31 = 86,128.31/x
  3. Step 3: Cross multiply
    61,160.06x = 86,128.31 × 86,128.31
  4. Step 4: Simplify right side
    61,160.06x = 7,418,086,214.10
  5. Step 5: Solve for x
    x = 7,418,086,214.10/61,160.06
  6. Step 6: Final answer
    x = 121,289.71

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.