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Finding the Third Proportional to 71,119.13 and 106,867.69

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Solution

The third proportional to 71,119.13 and 106,867.69 is: 160,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,119.13 : 106,867.69 = 106,867.69 : x
  2. Step 2: Convert to fraction form
    71,119.13/106,867.69 = 106,867.69/x
  3. Step 3: Cross multiply
    71,119.13x = 106,867.69 × 106,867.69
  4. Step 4: Simplify right side
    71,119.13x = 11,420,702,631.60
  5. Step 5: Solve for x
    x = 11,420,702,631.60/71,119.13
  6. Step 6: Final answer
    x = 160,585.53

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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.