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Finding the Third Proportional to 62,086.50 and 96,115.50

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Solution

The third proportional to 62,086.50 and 96,115.50 is: 148,795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,086.50 : 96,115.50 = 96,115.50 : x
  2. Step 2: Convert to fraction form
    62,086.50/96,115.50 = 96,115.50/x
  3. Step 3: Cross multiply
    62,086.50x = 96,115.50 × 96,115.50
  4. Step 4: Simplify right side
    62,086.50x = 9,238,189,340.25
  5. Step 5: Solve for x
    x = 9,238,189,340.25/62,086.50
  6. Step 6: Final answer
    x = 148,795.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.