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Finding the Third Proportional to 127,872 and 279,068

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Solution

The third proportional to 127,872 and 279,068 is: 609,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,872 : 279,068 = 279,068 : x
  2. Step 2: Convert to fraction form
    127,872/279,068 = 279,068/x
  3. Step 3: Cross multiply
    127,872x = 279,068 × 279,068
  4. Step 4: Simplify right side
    127,872x = 77,878,948,624
  5. Step 5: Solve for x
    x = 77,878,948,624/127,872
  6. Step 6: Final answer
    x = 609,038.32

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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.