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Finding the Third Proportional to 80,313.75 and 112,816.13

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Solution

The third proportional to 80,313.75 and 112,816.13 is: 158,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,313.75 : 112,816.13 = 112,816.13 : x
  2. Step 2: Convert to fraction form
    80,313.75/112,816.13 = 112,816.13/x
  3. Step 3: Cross multiply
    80,313.75x = 112,816.13 × 112,816.13
  4. Step 4: Simplify right side
    80,313.75x = 12,727,478,060.02
  5. Step 5: Solve for x
    x = 12,727,478,060.02/80,313.75
  6. Step 6: Final answer
    x = 158,471.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.