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Finding the Third Proportional to 127,950 and 270,664

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Solution

The third proportional to 127,950 and 270,664 is: 572,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,950 : 270,664 = 270,664 : x
  2. Step 2: Convert to fraction form
    127,950/270,664 = 270,664/x
  3. Step 3: Cross multiply
    127,950x = 270,664 × 270,664
  4. Step 4: Simplify right side
    127,950x = 73,259,000,896
  5. Step 5: Solve for x
    x = 73,259,000,896/127,950
  6. Step 6: Final answer
    x = 572,559.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.