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Finding the Third Proportional to 79,246 and 123,102

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Solution

The third proportional to 79,246 and 123,102 is: 191,228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,246 : 123,102 = 123,102 : x
  2. Step 2: Convert to fraction form
    79,246/123,102 = 123,102/x
  3. Step 3: Cross multiply
    79,246x = 123,102 × 123,102
  4. Step 4: Simplify right side
    79,246x = 15,154,102,404
  5. Step 5: Solve for x
    x = 15,154,102,404/79,246
  6. Step 6: Final answer
    x = 191,228.61

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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.