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Finding the Third Proportional to 81,702 and 115,614

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Solution

The third proportional to 81,702 and 115,614 is: 163,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,702 : 115,614 = 115,614 : x
  2. Step 2: Convert to fraction form
    81,702/115,614 = 115,614/x
  3. Step 3: Cross multiply
    81,702x = 115,614 × 115,614
  4. Step 4: Simplify right side
    81,702x = 13,366,596,996
  5. Step 5: Solve for x
    x = 13,366,596,996/81,702
  6. Step 6: Final answer
    x = 163,601.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.