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Finding the Third Proportional to 127,772 and 185,711

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Solution

The third proportional to 127,772 and 185,711 is: 269,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,772 : 185,711 = 185,711 : x
  2. Step 2: Convert to fraction form
    127,772/185,711 = 185,711/x
  3. Step 3: Cross multiply
    127,772x = 185,711 × 185,711
  4. Step 4: Simplify right side
    127,772x = 34,488,575,521
  5. Step 5: Solve for x
    x = 34,488,575,521/127,772
  6. Step 6: Final answer
    x = 269,922.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.