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Finding the Third Proportional to 54,607 and 82,412

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Solution

The third proportional to 54,607 and 82,412 is: 124,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,607 : 82,412 = 82,412 : x
  2. Step 2: Convert to fraction form
    54,607/82,412 = 82,412/x
  3. Step 3: Cross multiply
    54,607x = 82,412 × 82,412
  4. Step 4: Simplify right side
    54,607x = 6,791,737,744
  5. Step 5: Solve for x
    x = 6,791,737,744/54,607
  6. Step 6: Final answer
    x = 124,374.86

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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.