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Finding the Third Proportional to 80,034 and 128,919

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Solution

The third proportional to 80,034 and 128,919 is: 207,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,034 : 128,919 = 128,919 : x
  2. Step 2: Convert to fraction form
    80,034/128,919 = 128,919/x
  3. Step 3: Cross multiply
    80,034x = 128,919 × 128,919
  4. Step 4: Simplify right side
    80,034x = 16,620,108,561
  5. Step 5: Solve for x
    x = 16,620,108,561/80,034
  6. Step 6: Final answer
    x = 207,663.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.