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Finding the Third Proportional to 69,275.25 and 107,476.88

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Solution

The third proportional to 69,275.25 and 107,476.88 is: 166,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,275.25 : 107,476.88 = 107,476.88 : x
  2. Step 2: Convert to fraction form
    69,275.25/107,476.88 = 107,476.88/x
  3. Step 3: Cross multiply
    69,275.25x = 107,476.88 × 107,476.88
  4. Step 4: Simplify right side
    69,275.25x = 11,551,278,659.77
  5. Step 5: Solve for x
    x = 11,551,278,659.77/69,275.25
  6. Step 6: Final answer
    x = 166,744.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.