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Finding the Third Proportional to 60,189.75 and 80,524.13

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Solution

The third proportional to 60,189.75 and 80,524.13 is: 107,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,189.75 : 80,524.13 = 80,524.13 : x
  2. Step 2: Convert to fraction form
    60,189.75/80,524.13 = 80,524.13/x
  3. Step 3: Cross multiply
    60,189.75x = 80,524.13 × 80,524.13
  4. Step 4: Simplify right side
    60,189.75x = 6,484,134,707.02
  5. Step 5: Solve for x
    x = 6,484,134,707.02/60,189.75
  6. Step 6: Final answer
    x = 107,728.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.