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Finding the Third Proportional to 88,822 and 115,238

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Solution

The third proportional to 88,822 and 115,238 is: 149,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,822 : 115,238 = 115,238 : x
  2. Step 2: Convert to fraction form
    88,822/115,238 = 115,238/x
  3. Step 3: Cross multiply
    88,822x = 115,238 × 115,238
  4. Step 4: Simplify right side
    88,822x = 13,279,796,644
  5. Step 5: Solve for x
    x = 13,279,796,644/88,822
  6. Step 6: Final answer
    x = 149,510.22

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.