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Finding the Third Proportional to 67,851 and 96,309

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Solution

The third proportional to 67,851 and 96,309 is: 136,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,851 : 96,309 = 96,309 : x
  2. Step 2: Convert to fraction form
    67,851/96,309 = 96,309/x
  3. Step 3: Cross multiply
    67,851x = 96,309 × 96,309
  4. Step 4: Simplify right side
    67,851x = 9,275,423,481
  5. Step 5: Solve for x
    x = 9,275,423,481/67,851
  6. Step 6: Final answer
    x = 136,702.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.