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Finding the Third Proportional to 127,876 and 279,076

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Solution

The third proportional to 127,876 and 279,076 is: 609,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,876 : 279,076 = 279,076 : x
  2. Step 2: Convert to fraction form
    127,876/279,076 = 279,076/x
  3. Step 3: Cross multiply
    127,876x = 279,076 × 279,076
  4. Step 4: Simplify right side
    127,876x = 77,883,413,776
  5. Step 5: Solve for x
    x = 77,883,413,776/127,876
  6. Step 6: Final answer
    x = 609,054.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.