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Finding the Third Proportional to 81,570 and 114,864

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Solution

The third proportional to 81,570 and 114,864 is: 161,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,570 : 114,864 = 114,864 : x
  2. Step 2: Convert to fraction form
    81,570/114,864 = 114,864/x
  3. Step 3: Cross multiply
    81,570x = 114,864 × 114,864
  4. Step 4: Simplify right side
    81,570x = 13,193,738,496
  5. Step 5: Solve for x
    x = 13,193,738,496/81,570
  6. Step 6: Final answer
    x = 161,747.44

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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.