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Finding the Third Proportional to 126,432 and 169,656

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Solution

The third proportional to 126,432 and 169,656 is: 227,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,432 : 169,656 = 169,656 : x
  2. Step 2: Convert to fraction form
    126,432/169,656 = 169,656/x
  3. Step 3: Cross multiply
    126,432x = 169,656 × 169,656
  4. Step 4: Simplify right side
    126,432x = 28,783,158,336
  5. Step 5: Solve for x
    x = 28,783,158,336/126,432
  6. Step 6: Final answer
    x = 227,657.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.