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Finding the Third Proportional to 83,972 and 177,423

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Solution

The third proportional to 83,972 and 177,423 is: 374,874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,972 : 177,423 = 177,423 : x
  2. Step 2: Convert to fraction form
    83,972/177,423 = 177,423/x
  3. Step 3: Cross multiply
    83,972x = 177,423 × 177,423
  4. Step 4: Simplify right side
    83,972x = 31,478,920,929
  5. Step 5: Solve for x
    x = 31,478,920,929/83,972
  6. Step 6: Final answer
    x = 374,874.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.