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Finding the Third Proportional to 62,123.25 and 82,769.06

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Solution

The third proportional to 62,123.25 and 82,769.06 is: 110,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,123.25 : 82,769.06 = 82,769.06 : x
  2. Step 2: Convert to fraction form
    62,123.25/82,769.06 = 82,769.06/x
  3. Step 3: Cross multiply
    62,123.25x = 82,769.06 × 82,769.06
  4. Step 4: Simplify right side
    62,123.25x = 6,850,717,707.13
  5. Step 5: Solve for x
    x = 6,850,717,707.13/62,123.25
  6. Step 6: Final answer
    x = 110,276.23

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.