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Finding the Third Proportional to 96,842 and 142,309

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Solution

The third proportional to 96,842 and 142,309 is: 209,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,842 : 142,309 = 142,309 : x
  2. Step 2: Convert to fraction form
    96,842/142,309 = 142,309/x
  3. Step 3: Cross multiply
    96,842x = 142,309 × 142,309
  4. Step 4: Simplify right side
    96,842x = 20,251,851,481
  5. Step 5: Solve for x
    x = 20,251,851,481/96,842
  6. Step 6: Final answer
    x = 209,122.61

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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.