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Finding the Third Proportional to 80,040 and 173,650

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Solution

The third proportional to 80,040 and 173,650 is: 376,740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,040 : 173,650 = 173,650 : x
  2. Step 2: Convert to fraction form
    80,040/173,650 = 173,650/x
  3. Step 3: Cross multiply
    80,040x = 173,650 × 173,650
  4. Step 4: Simplify right side
    80,040x = 30,154,322,500
  5. Step 5: Solve for x
    x = 30,154,322,500/80,040
  6. Step 6: Final answer
    x = 376,740.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.