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Finding the Third Proportional to 74,366 and 113,291

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Solution

The third proportional to 74,366 and 113,291 is: 172,590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,366 : 113,291 = 113,291 : x
  2. Step 2: Convert to fraction form
    74,366/113,291 = 113,291/x
  3. Step 3: Cross multiply
    74,366x = 113,291 × 113,291
  4. Step 4: Simplify right side
    74,366x = 12,834,850,681
  5. Step 5: Solve for x
    x = 12,834,850,681/74,366
  6. Step 6: Final answer
    x = 172,590.31

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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.