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Finding the Third Proportional to 125,822 and 193,102

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Solution

The third proportional to 125,822 and 193,102 is: 296,358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,822 : 193,102 = 193,102 : x
  2. Step 2: Convert to fraction form
    125,822/193,102 = 193,102/x
  3. Step 3: Cross multiply
    125,822x = 193,102 × 193,102
  4. Step 4: Simplify right side
    125,822x = 37,288,382,404
  5. Step 5: Solve for x
    x = 37,288,382,404/125,822
  6. Step 6: Final answer
    x = 296,358.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.