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Finding the Third Proportional to 54,737 and 84,522

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Solution

The third proportional to 54,737 and 84,522 is: 130,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,737 : 84,522 = 84,522 : x
  2. Step 2: Convert to fraction form
    54,737/84,522 = 84,522/x
  3. Step 3: Cross multiply
    54,737x = 84,522 × 84,522
  4. Step 4: Simplify right side
    54,737x = 7,143,968,484
  5. Step 5: Solve for x
    x = 7,143,968,484/54,737
  6. Step 6: Final answer
    x = 130,514.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.