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Finding the Third Proportional to 125,418 and 194,275

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Solution

The third proportional to 125,418 and 194,275 is: 300,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,418 : 194,275 = 194,275 : x
  2. Step 2: Convert to fraction form
    125,418/194,275 = 194,275/x
  3. Step 3: Cross multiply
    125,418x = 194,275 × 194,275
  4. Step 4: Simplify right side
    125,418x = 37,742,775,625
  5. Step 5: Solve for x
    x = 37,742,775,625/125,418
  6. Step 6: Final answer
    x = 300,935.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.