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Finding the Third Proportional to 74,417 and 113,373

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Solution

The third proportional to 74,417 and 113,373 is: 172,721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,417 : 113,373 = 113,373 : x
  2. Step 2: Convert to fraction form
    74,417/113,373 = 113,373/x
  3. Step 3: Cross multiply
    74,417x = 113,373 × 113,373
  4. Step 4: Simplify right side
    74,417x = 12,853,437,129
  5. Step 5: Solve for x
    x = 12,853,437,129/74,417
  6. Step 6: Final answer
    x = 172,721.79

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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.