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Finding the Third Proportional to 125,500 and 276,272

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Solution

The third proportional to 125,500 and 276,272 is: 608,177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,500 : 276,272 = 276,272 : x
  2. Step 2: Convert to fraction form
    125,500/276,272 = 276,272/x
  3. Step 3: Cross multiply
    125,500x = 276,272 × 276,272
  4. Step 4: Simplify right side
    125,500x = 76,326,217,984
  5. Step 5: Solve for x
    x = 76,326,217,984/125,500
  6. Step 6: Final answer
    x = 608,177.04

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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.