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Finding the Third Proportional to 61,156.31 and 86,121.56

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Solution

The third proportional to 61,156.31 and 86,121.56 is: 121,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,156.31 : 86,121.56 = 86,121.56 : x
  2. Step 2: Convert to fraction form
    61,156.31/86,121.56 = 86,121.56/x
  3. Step 3: Cross multiply
    61,156.31x = 86,121.56 × 86,121.56
  4. Step 4: Simplify right side
    61,156.31x = 7,416,923,527.44
  5. Step 5: Solve for x
    x = 7,416,923,527.44/61,156.31
  6. Step 6: Final answer
    x = 121,278.14

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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.