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Finding the Third Proportional to 105,387 and 160,757

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Solution

The third proportional to 105,387 and 160,757 is: 245,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,387 : 160,757 = 160,757 : x
  2. Step 2: Convert to fraction form
    105,387/160,757 = 160,757/x
  3. Step 3: Cross multiply
    105,387x = 160,757 × 160,757
  4. Step 4: Simplify right side
    105,387x = 25,842,813,049
  5. Step 5: Solve for x
    x = 25,842,813,049/105,387
  6. Step 6: Final answer
    x = 245,218.22

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Why These Related Problems?

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