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Finding the Third Proportional to 127,536 and 161,707

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Solution

The third proportional to 127,536 and 161,707 is: 205,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,536 : 161,707 = 161,707 : x
  2. Step 2: Convert to fraction form
    127,536/161,707 = 161,707/x
  3. Step 3: Cross multiply
    127,536x = 161,707 × 161,707
  4. Step 4: Simplify right side
    127,536x = 26,149,153,849
  5. Step 5: Solve for x
    x = 26,149,153,849/127,536
  6. Step 6: Final answer
    x = 205,033.51

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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.