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Finding the Third Proportional to 79,756 and 123,402

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Solution

The third proportional to 79,756 and 123,402 is: 190,933.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,756 : 123,402 = 123,402 : x
  2. Step 2: Convert to fraction form
    79,756/123,402 = 123,402/x
  3. Step 3: Cross multiply
    79,756x = 123,402 × 123,402
  4. Step 4: Simplify right side
    79,756x = 15,228,053,604
  5. Step 5: Solve for x
    x = 15,228,053,604/79,756
  6. Step 6: Final answer
    x = 190,933.02

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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.