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Finding the Third Proportional to 100,048 and 152,612

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Solution

The third proportional to 100,048 and 152,612 is: 232,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,048 : 152,612 = 152,612 : x
  2. Step 2: Convert to fraction form
    100,048/152,612 = 152,612/x
  3. Step 3: Cross multiply
    100,048x = 152,612 × 152,612
  4. Step 4: Simplify right side
    100,048x = 23,290,422,544
  5. Step 5: Solve for x
    x = 23,290,422,544/100,048
  6. Step 6: Final answer
    x = 232,792.49

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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.