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Finding the Third Proportional to 76,627 and 162,376

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Solution

The third proportional to 76,627 and 162,376 is: 344,081.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,627 : 162,376 = 162,376 : x
  2. Step 2: Convert to fraction form
    76,627/162,376 = 162,376/x
  3. Step 3: Cross multiply
    76,627x = 162,376 × 162,376
  4. Step 4: Simplify right side
    76,627x = 26,365,965,376
  5. Step 5: Solve for x
    x = 26,365,965,376/76,627
  6. Step 6: Final answer
    x = 344,081.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.