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Finding the Third Proportional to 80,676 and 106,525.13

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Solution

The third proportional to 80,676 and 106,525.13 is: 140,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,676 : 106,525.13 = 106,525.13 : x
  2. Step 2: Convert to fraction form
    80,676/106,525.13 = 106,525.13/x
  3. Step 3: Cross multiply
    80,676x = 106,525.13 × 106,525.13
  4. Step 4: Simplify right side
    80,676x = 11,347,602,256.27
  5. Step 5: Solve for x
    x = 11,347,602,256.27/80,676
  6. Step 6: Final answer
    x = 140,656.48

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.