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Finding the Third Proportional to 55,676 and 86,226

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Solution

The third proportional to 55,676 and 86,226 is: 133,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,676 : 86,226 = 86,226 : x
  2. Step 2: Convert to fraction form
    55,676/86,226 = 86,226/x
  3. Step 3: Cross multiply
    55,676x = 86,226 × 86,226
  4. Step 4: Simplify right side
    55,676x = 7,434,923,076
  5. Step 5: Solve for x
    x = 7,434,923,076/55,676
  6. Step 6: Final answer
    x = 133,539.10

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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.