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Finding the Third Proportional to 127,057 and 169,386

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Solution

The third proportional to 127,057 and 169,386 is: 225,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,057 : 169,386 = 169,386 : x
  2. Step 2: Convert to fraction form
    127,057/169,386 = 169,386/x
  3. Step 3: Cross multiply
    127,057x = 169,386 × 169,386
  4. Step 4: Simplify right side
    127,057x = 28,691,616,996
  5. Step 5: Solve for x
    x = 28,691,616,996/127,057
  6. Step 6: Final answer
    x = 225,816.89

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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.