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Finding the Third Proportional to 83,984 and 127,309

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Solution

The third proportional to 83,984 and 127,309 is: 192,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,984 : 127,309 = 127,309 : x
  2. Step 2: Convert to fraction form
    83,984/127,309 = 127,309/x
  3. Step 3: Cross multiply
    83,984x = 127,309 × 127,309
  4. Step 4: Simplify right side
    83,984x = 16,207,581,481
  5. Step 5: Solve for x
    x = 16,207,581,481/83,984
  6. Step 6: Final answer
    x = 192,984.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.