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Finding the Third Proportional to 109,876 and 237,272

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Solution

The third proportional to 109,876 and 237,272 is: 512,377.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,876 : 237,272 = 237,272 : x
  2. Step 2: Convert to fraction form
    109,876/237,272 = 237,272/x
  3. Step 3: Cross multiply
    109,876x = 237,272 × 237,272
  4. Step 4: Simplify right side
    109,876x = 56,298,001,984
  5. Step 5: Solve for x
    x = 56,298,001,984/109,876
  6. Step 6: Final answer
    x = 512,377.61

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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.