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Finding the Third Proportional to 127,572 and 279,464

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Solution

The third proportional to 127,572 and 279,464 is: 612,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,572 : 279,464 = 279,464 : x
  2. Step 2: Convert to fraction form
    127,572/279,464 = 279,464/x
  3. Step 3: Cross multiply
    127,572x = 279,464 × 279,464
  4. Step 4: Simplify right side
    127,572x = 78,100,127,296
  5. Step 5: Solve for x
    x = 78,100,127,296/127,572
  6. Step 6: Final answer
    x = 612,204.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.