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Finding the Third Proportional to 127,922 and 178,931

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Solution

The third proportional to 127,922 and 178,931 is: 250,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,922 : 178,931 = 178,931 : x
  2. Step 2: Convert to fraction form
    127,922/178,931 = 178,931/x
  3. Step 3: Cross multiply
    127,922x = 178,931 × 178,931
  4. Step 4: Simplify right side
    127,922x = 32,016,302,761
  5. Step 5: Solve for x
    x = 32,016,302,761/127,922
  6. Step 6: Final answer
    x = 250,279.88

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