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Finding the Third Proportional to 69,606 and 112,077

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Solution

The third proportional to 69,606 and 112,077 is: 180,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,606 : 112,077 = 112,077 : x
  2. Step 2: Convert to fraction form
    69,606/112,077 = 112,077/x
  3. Step 3: Cross multiply
    69,606x = 112,077 × 112,077
  4. Step 4: Simplify right side
    69,606x = 12,561,253,929
  5. Step 5: Solve for x
    x = 12,561,253,929/69,606
  6. Step 6: Final answer
    x = 180,462.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.