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Finding the Third Proportional to 127,056 and 279,000

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Solution

The third proportional to 127,056 and 279,000 is: 612,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,056 : 279,000 = 279,000 : x
  2. Step 2: Convert to fraction form
    127,056/279,000 = 279,000/x
  3. Step 3: Cross multiply
    127,056x = 279,000 × 279,000
  4. Step 4: Simplify right side
    127,056x = 77,841,000,000
  5. Step 5: Solve for x
    x = 77,841,000,000/127,056
  6. Step 6: Final answer
    x = 612,651.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.