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Finding the Third Proportional to 70,723.13 and 106,084.69

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Solution

The third proportional to 70,723.13 and 106,084.69 is: 159,127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,723.13 : 106,084.69 = 106,084.69 : x
  2. Step 2: Convert to fraction form
    70,723.13/106,084.69 = 106,084.69/x
  3. Step 3: Cross multiply
    70,723.13x = 106,084.69 × 106,084.69
  4. Step 4: Simplify right side
    70,723.13x = 11,253,960,921.97
  5. Step 5: Solve for x
    x = 11,253,960,921.97/70,723.13
  6. Step 6: Final answer
    x = 159,127.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.