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Finding the Third Proportional to 54,394 and 84,051

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Solution

The third proportional to 54,394 and 84,051 is: 129,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,394 : 84,051 = 84,051 : x
  2. Step 2: Convert to fraction form
    54,394/84,051 = 84,051/x
  3. Step 3: Cross multiply
    54,394x = 84,051 × 84,051
  4. Step 4: Simplify right side
    54,394x = 7,064,570,601
  5. Step 5: Solve for x
    x = 7,064,570,601/54,394
  6. Step 6: Final answer
    x = 129,877.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.