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Finding the Third Proportional to 100,964.50 and 155,658.50

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Solution

The third proportional to 100,964.50 and 155,658.50 is: 239,981.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,964.50 : 155,658.50 = 155,658.50 : x
  2. Step 2: Convert to fraction form
    100,964.50/155,658.50 = 155,658.50/x
  3. Step 3: Cross multiply
    100,964.50x = 155,658.50 × 155,658.50
  4. Step 4: Simplify right side
    100,964.50x = 24,229,568,622.25
  5. Step 5: Solve for x
    x = 24,229,568,622.25/100,964.50
  6. Step 6: Final answer
    x = 239,981.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.