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Finding the Third Proportional to 100,801 and 157,330

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Solution

The third proportional to 100,801 and 157,330 is: 245,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,801 : 157,330 = 157,330 : x
  2. Step 2: Convert to fraction form
    100,801/157,330 = 157,330/x
  3. Step 3: Cross multiply
    100,801x = 157,330 × 157,330
  4. Step 4: Simplify right side
    100,801x = 24,752,728,900
  5. Step 5: Solve for x
    x = 24,752,728,900/100,801
  6. Step 6: Final answer
    x = 245,560.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.