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Finding the Third Proportional to 62,764 and 134,624

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Solution

The third proportional to 62,764 and 134,624 is: 288,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,764 : 134,624 = 134,624 : x
  2. Step 2: Convert to fraction form
    62,764/134,624 = 134,624/x
  3. Step 3: Cross multiply
    62,764x = 134,624 × 134,624
  4. Step 4: Simplify right side
    62,764x = 18,123,621,376
  5. Step 5: Solve for x
    x = 18,123,621,376/62,764
  6. Step 6: Final answer
    x = 288,758.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.