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Finding the Third Proportional to 45,272 and 96,376

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Solution

The third proportional to 45,272 and 96,376 is: 205,167.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,272 : 96,376 = 96,376 : x
  2. Step 2: Convert to fraction form
    45,272/96,376 = 96,376/x
  3. Step 3: Cross multiply
    45,272x = 96,376 × 96,376
  4. Step 4: Simplify right side
    45,272x = 9,288,333,376
  5. Step 5: Solve for x
    x = 9,288,333,376/45,272
  6. Step 6: Final answer
    x = 205,167.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.