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Finding the Third Proportional to 54,637 and 82,457

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Solution

The third proportional to 54,637 and 82,457 is: 124,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,637 : 82,457 = 82,457 : x
  2. Step 2: Convert to fraction form
    54,637/82,457 = 82,457/x
  3. Step 3: Cross multiply
    54,637x = 82,457 × 82,457
  4. Step 4: Simplify right side
    54,637x = 6,799,156,849
  5. Step 5: Solve for x
    x = 6,799,156,849/54,637
  6. Step 6: Final answer
    x = 124,442.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.