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Finding the Third Proportional to 74,394.84 and 113,149.13

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Solution

The third proportional to 74,394.84 and 113,149.13 is: 172,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,394.84 : 113,149.13 = 113,149.13 : x
  2. Step 2: Convert to fraction form
    74,394.84/113,149.13 = 113,149.13/x
  3. Step 3: Cross multiply
    74,394.84x = 113,149.13 × 113,149.13
  4. Step 4: Simplify right side
    74,394.84x = 12,802,724,488.27
  5. Step 5: Solve for x
    x = 12,802,724,488.27/74,394.84
  6. Step 6: Final answer
    x = 172,091.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.