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Finding the Third Proportional to 127,734 and 170,853

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Solution

The third proportional to 127,734 and 170,853 is: 228,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,734 : 170,853 = 170,853 : x
  2. Step 2: Convert to fraction form
    127,734/170,853 = 170,853/x
  3. Step 3: Cross multiply
    127,734x = 170,853 × 170,853
  4. Step 4: Simplify right side
    127,734x = 29,190,747,609
  5. Step 5: Solve for x
    x = 29,190,747,609/127,734
  6. Step 6: Final answer
    x = 228,527.62

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.