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Finding the Third Proportional to 127,550 and 161,729

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Solution

The third proportional to 127,550 and 161,729 is: 205,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,550 : 161,729 = 161,729 : x
  2. Step 2: Convert to fraction form
    127,550/161,729 = 161,729/x
  3. Step 3: Cross multiply
    127,550x = 161,729 × 161,729
  4. Step 4: Simplify right side
    127,550x = 26,156,269,441
  5. Step 5: Solve for x
    x = 26,156,269,441/127,550
  6. Step 6: Final answer
    x = 205,066.79

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.