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Finding the Third Proportional to 48,660.75 and 83,080.69

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Solution

The third proportional to 48,660.75 and 83,080.69 is: 141,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,660.75 : 83,080.69 = 83,080.69 : x
  2. Step 2: Convert to fraction form
    48,660.75/83,080.69 = 83,080.69/x
  3. Step 3: Cross multiply
    48,660.75x = 83,080.69 × 83,080.69
  4. Step 4: Simplify right side
    48,660.75x = 6,902,400,635.47
  5. Step 5: Solve for x
    x = 6,902,400,635.47/48,660.75
  6. Step 6: Final answer
    x = 141,847.40

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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.