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Finding the Third Proportional to 64,264 and 140,624

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Solution

The third proportional to 64,264 and 140,624 is: 307,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,264 : 140,624 = 140,624 : x
  2. Step 2: Convert to fraction form
    64,264/140,624 = 140,624/x
  3. Step 3: Cross multiply
    64,264x = 140,624 × 140,624
  4. Step 4: Simplify right side
    64,264x = 19,775,109,376
  5. Step 5: Solve for x
    x = 19,775,109,376/64,264
  6. Step 6: Final answer
    x = 307,716.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.