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Finding the Third Proportional to 59,601 and 126,309

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Solution

The third proportional to 59,601 and 126,309 is: 267,679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,601 : 126,309 = 126,309 : x
  2. Step 2: Convert to fraction form
    59,601/126,309 = 126,309/x
  3. Step 3: Cross multiply
    59,601x = 126,309 × 126,309
  4. Step 4: Simplify right side
    59,601x = 15,953,963,481
  5. Step 5: Solve for x
    x = 15,953,963,481/59,601
  6. Step 6: Final answer
    x = 267,679.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.