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Finding the Third Proportional to 45,376 and 98,624

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Solution

The third proportional to 45,376 and 98,624 is: 214,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,376 : 98,624 = 98,624 : x
  2. Step 2: Convert to fraction form
    45,376/98,624 = 98,624/x
  3. Step 3: Cross multiply
    45,376x = 98,624 × 98,624
  4. Step 4: Simplify right side
    45,376x = 9,726,693,376
  5. Step 5: Solve for x
    x = 9,726,693,376/45,376
  6. Step 6: Final answer
    x = 214,357.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.