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Finding the Third Proportional to 47,377 and 100,370

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Solution

The third proportional to 47,377 and 100,370 is: 212,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,377 : 100,370 = 100,370 : x
  2. Step 2: Convert to fraction form
    47,377/100,370 = 100,370/x
  3. Step 3: Cross multiply
    47,377x = 100,370 × 100,370
  4. Step 4: Simplify right side
    47,377x = 10,074,136,900
  5. Step 5: Solve for x
    x = 10,074,136,900/47,377
  6. Step 6: Final answer
    x = 212,637.71

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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.