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Finding the Third Proportional to 54,712 and 82,122

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Solution

The third proportional to 54,712 and 82,122 is: 123,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,712 : 82,122 = 82,122 : x
  2. Step 2: Convert to fraction form
    54,712/82,122 = 82,122/x
  3. Step 3: Cross multiply
    54,712x = 82,122 × 82,122
  4. Step 4: Simplify right side
    54,712x = 6,744,022,884
  5. Step 5: Solve for x
    x = 6,744,022,884/54,712
  6. Step 6: Final answer
    x = 123,264.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.