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Finding the Third Proportional to 127,924 and 178,934

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Solution

The third proportional to 127,924 and 178,934 is: 250,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,924 : 178,934 = 178,934 : x
  2. Step 2: Convert to fraction form
    127,924/178,934 = 178,934/x
  3. Step 3: Cross multiply
    127,924x = 178,934 × 178,934
  4. Step 4: Simplify right side
    127,924x = 32,017,376,356
  5. Step 5: Solve for x
    x = 32,017,376,356/127,924
  6. Step 6: Final answer
    x = 250,284.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.