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Finding the Third Proportional to 100,215 and 155,142

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Solution

The third proportional to 100,215 and 155,142 is: 240,174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,215 : 155,142 = 155,142 : x
  2. Step 2: Convert to fraction form
    100,215/155,142 = 155,142/x
  3. Step 3: Cross multiply
    100,215x = 155,142 × 155,142
  4. Step 4: Simplify right side
    100,215x = 24,069,040,164
  5. Step 5: Solve for x
    x = 24,069,040,164/100,215
  6. Step 6: Final answer
    x = 240,174.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.