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Finding the Third Proportional to 107,057 and 160,317

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Solution

The third proportional to 107,057 and 160,317 is: 240,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,057 : 160,317 = 160,317 : x
  2. Step 2: Convert to fraction form
    107,057/160,317 = 160,317/x
  3. Step 3: Cross multiply
    107,057x = 160,317 × 160,317
  4. Step 4: Simplify right side
    107,057x = 25,701,540,489
  5. Step 5: Solve for x
    x = 25,701,540,489/107,057
  6. Step 6: Final answer
    x = 240,073.42

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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.