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Finding the Third Proportional to 61,812 and 133,478

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Solution

The third proportional to 61,812 and 133,478 is: 288,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,812 : 133,478 = 133,478 : x
  2. Step 2: Convert to fraction form
    61,812/133,478 = 133,478/x
  3. Step 3: Cross multiply
    61,812x = 133,478 × 133,478
  4. Step 4: Simplify right side
    61,812x = 17,816,376,484
  5. Step 5: Solve for x
    x = 17,816,376,484/61,812
  6. Step 6: Final answer
    x = 288,234.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.