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Finding the Third Proportional to 101,822 and 155,757

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Solution

The third proportional to 101,822 and 155,757 is: 238,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,822 : 155,757 = 155,757 : x
  2. Step 2: Convert to fraction form
    101,822/155,757 = 155,757/x
  3. Step 3: Cross multiply
    101,822x = 155,757 × 155,757
  4. Step 4: Simplify right side
    101,822x = 24,260,243,049
  5. Step 5: Solve for x
    x = 24,260,243,049/101,822
  6. Step 6: Final answer
    x = 238,261.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.