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Finding the Third Proportional to 127,060 and 169,390

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Solution

The third proportional to 127,060 and 169,390 is: 225,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,060 : 169,390 = 169,390 : x
  2. Step 2: Convert to fraction form
    127,060/169,390 = 169,390/x
  3. Step 3: Cross multiply
    127,060x = 169,390 × 169,390
  4. Step 4: Simplify right side
    127,060x = 28,692,972,100
  5. Step 5: Solve for x
    x = 28,692,972,100/127,060
  6. Step 6: Final answer
    x = 225,822.23

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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.