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Finding the Third Proportional to 127,056.38 and 169,385.48

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Solution

The third proportional to 127,056.38 and 169,385.48 is: 225,816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,056.38 : 169,385.48 = 169,385.48 : x
  2. Step 2: Convert to fraction form
    127,056.38/169,385.48 = 169,385.48/x
  3. Step 3: Cross multiply
    127,056.38x = 169,385.48 × 169,385.48
  4. Step 4: Simplify right side
    127,056.38x = 28,691,442,316.95
  5. Step 5: Solve for x
    x = 28,691,442,316.95/127,056.38
  6. Step 6: Final answer
    x = 225,816.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.