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Finding the Third Proportional to 69,786 and 152,612

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Solution

The third proportional to 69,786 and 152,612 is: 333,740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,786 : 152,612 = 152,612 : x
  2. Step 2: Convert to fraction form
    69,786/152,612 = 152,612/x
  3. Step 3: Cross multiply
    69,786x = 152,612 × 152,612
  4. Step 4: Simplify right side
    69,786x = 23,290,422,544
  5. Step 5: Solve for x
    x = 23,290,422,544/69,786
  6. Step 6: Final answer
    x = 333,740.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.