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Finding the Third Proportional to 73,938 and 162,624

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Solution

The third proportional to 73,938 and 162,624 is: 357,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,938 : 162,624 = 162,624 : x
  2. Step 2: Convert to fraction form
    73,938/162,624 = 162,624/x
  3. Step 3: Cross multiply
    73,938x = 162,624 × 162,624
  4. Step 4: Simplify right side
    73,938x = 26,446,565,376
  5. Step 5: Solve for x
    x = 26,446,565,376/73,938
  6. Step 6: Final answer
    x = 357,685.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.