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Finding the Third Proportional to 106,641 and 160,234

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Solution

The third proportional to 106,641 and 160,234 is: 240,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,641 : 160,234 = 160,234 : x
  2. Step 2: Convert to fraction form
    106,641/160,234 = 160,234/x
  3. Step 3: Cross multiply
    106,641x = 160,234 × 160,234
  4. Step 4: Simplify right side
    106,641x = 25,674,934,756
  5. Step 5: Solve for x
    x = 25,674,934,756/106,641
  6. Step 6: Final answer
    x = 240,760.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.