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Finding the Third Proportional to 52,581 and 81,463.50

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Solution

The third proportional to 52,581 and 81,463.50 is: 126,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,581 : 81,463.50 = 81,463.50 : x
  2. Step 2: Convert to fraction form
    52,581/81,463.50 = 81,463.50/x
  3. Step 3: Cross multiply
    52,581x = 81,463.50 × 81,463.50
  4. Step 4: Simplify right side
    52,581x = 6,636,301,832.25
  5. Step 5: Solve for x
    x = 6,636,301,832.25/52,581
  6. Step 6: Final answer
    x = 126,211.02

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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.