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Finding the Third Proportional to 127,964 and 275,367

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Solution

The third proportional to 127,964 and 275,367 is: 592,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,964 : 275,367 = 275,367 : x
  2. Step 2: Convert to fraction form
    127,964/275,367 = 275,367/x
  3. Step 3: Cross multiply
    127,964x = 275,367 × 275,367
  4. Step 4: Simplify right side
    127,964x = 75,826,984,689
  5. Step 5: Solve for x
    x = 75,826,984,689/127,964
  6. Step 6: Final answer
    x = 592,564.98

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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.