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Finding the Third Proportional to 80,740.13 and 110,836.69

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Solution

The third proportional to 80,740.13 and 110,836.69 is: 152,152.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,740.13 : 110,836.69 = 110,836.69 : x
  2. Step 2: Convert to fraction form
    80,740.13/110,836.69 = 110,836.69/x
  3. Step 3: Cross multiply
    80,740.13x = 110,836.69 × 110,836.69
  4. Step 4: Simplify right side
    80,740.13x = 12,284,771,295.97
  5. Step 5: Solve for x
    x = 12,284,771,295.97/80,740.13
  6. Step 6: Final answer
    x = 152,152.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.