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Finding the Third Proportional to 61,744.50 and 95,182.50

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Solution

The third proportional to 61,744.50 and 95,182.50 is: 146,728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,744.50 : 95,182.50 = 95,182.50 : x
  2. Step 2: Convert to fraction form
    61,744.50/95,182.50 = 95,182.50/x
  3. Step 3: Cross multiply
    61,744.50x = 95,182.50 × 95,182.50
  4. Step 4: Simplify right side
    61,744.50x = 9,059,708,306.25
  5. Step 5: Solve for x
    x = 9,059,708,306.25/61,744.50
  6. Step 6: Final answer
    x = 146,728.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.