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Finding the Third Proportional to 81,561 and 114,858

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Solution

The third proportional to 81,561 and 114,858 is: 161,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,561 : 114,858 = 114,858 : x
  2. Step 2: Convert to fraction form
    81,561/114,858 = 114,858/x
  3. Step 3: Cross multiply
    81,561x = 114,858 × 114,858
  4. Step 4: Simplify right side
    81,561x = 13,192,360,164
  5. Step 5: Solve for x
    x = 13,192,360,164/81,561
  6. Step 6: Final answer
    x = 161,748.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.