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Finding the Third Proportional to 80,617.13 and 175,039.13

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Solution

The third proportional to 80,617.13 and 175,039.13 is: 380,051.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,617.13 : 175,039.13 = 175,039.13 : x
  2. Step 2: Convert to fraction form
    80,617.13/175,039.13 = 175,039.13/x
  3. Step 3: Cross multiply
    80,617.13x = 175,039.13 × 175,039.13
  4. Step 4: Simplify right side
    80,617.13x = 30,638,695,280.77
  5. Step 5: Solve for x
    x = 30,638,695,280.77/80,617.13
  6. Step 6: Final answer
    x = 380,051.95

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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.