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Finding the Third Proportional to 74,594 and 161,102

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Solution

The third proportional to 74,594 and 161,102 is: 347,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,594 : 161,102 = 161,102 : x
  2. Step 2: Convert to fraction form
    74,594/161,102 = 161,102/x
  3. Step 3: Cross multiply
    74,594x = 161,102 × 161,102
  4. Step 4: Simplify right side
    74,594x = 25,953,854,404
  5. Step 5: Solve for x
    x = 25,953,854,404/74,594
  6. Step 6: Final answer
    x = 347,934.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.