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Finding the Third Proportional to 104,822 and 161,311

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Solution

The third proportional to 104,822 and 161,311 is: 248,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,822 : 161,311 = 161,311 : x
  2. Step 2: Convert to fraction form
    104,822/161,311 = 161,311/x
  3. Step 3: Cross multiply
    104,822x = 161,311 × 161,311
  4. Step 4: Simplify right side
    104,822x = 26,021,238,721
  5. Step 5: Solve for x
    x = 26,021,238,721/104,822
  6. Step 6: Final answer
    x = 248,242.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.