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Finding the Third Proportional to 127,772 and 169,625

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Solution

The third proportional to 127,772 and 169,625 is: 225,187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,772 : 169,625 = 169,625 : x
  2. Step 2: Convert to fraction form
    127,772/169,625 = 169,625/x
  3. Step 3: Cross multiply
    127,772x = 169,625 × 169,625
  4. Step 4: Simplify right side
    127,772x = 28,772,640,625
  5. Step 5: Solve for x
    x = 28,772,640,625/127,772
  6. Step 6: Final answer
    x = 225,187.37

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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.