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Finding the Third Proportional to 127,956 and 275,352

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Solution

The third proportional to 127,956 and 275,352 is: 592,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,956 : 275,352 = 275,352 : x
  2. Step 2: Convert to fraction form
    127,956/275,352 = 275,352/x
  3. Step 3: Cross multiply
    127,956x = 275,352 × 275,352
  4. Step 4: Simplify right side
    127,956x = 75,818,723,904
  5. Step 5: Solve for x
    x = 75,818,723,904/127,956
  6. Step 6: Final answer
    x = 592,537.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.