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Finding the Third Proportional to 80,191.13 and 124,751.81

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Solution

The third proportional to 80,191.13 and 124,751.81 is: 194,074.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,191.13 : 124,751.81 = 124,751.81 : x
  2. Step 2: Convert to fraction form
    80,191.13/124,751.81 = 124,751.81/x
  3. Step 3: Cross multiply
    80,191.13x = 124,751.81 × 124,751.81
  4. Step 4: Simplify right side
    80,191.13x = 15,563,014,722.04
  5. Step 5: Solve for x
    x = 15,563,014,722.04/80,191.13
  6. Step 6: Final answer
    x = 194,074.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.