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Finding the Third Proportional to 79,984 and 117,376

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Solution

The third proportional to 79,984 and 117,376 is: 172,248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,984 : 117,376 = 117,376 : x
  2. Step 2: Convert to fraction form
    79,984/117,376 = 117,376/x
  3. Step 3: Cross multiply
    79,984x = 117,376 × 117,376
  4. Step 4: Simplify right side
    79,984x = 13,777,125,376
  5. Step 5: Solve for x
    x = 13,777,125,376/79,984
  6. Step 6: Final answer
    x = 172,248.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.