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Finding the Third Proportional to 61,304 and 134,624

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Solution

The third proportional to 61,304 and 134,624 is: 295,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,304 : 134,624 = 134,624 : x
  2. Step 2: Convert to fraction form
    61,304/134,624 = 134,624/x
  3. Step 3: Cross multiply
    61,304x = 134,624 × 134,624
  4. Step 4: Simplify right side
    61,304x = 18,123,621,376
  5. Step 5: Solve for x
    x = 18,123,621,376/61,304
  6. Step 6: Final answer
    x = 295,635.22

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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.