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Finding the Third Proportional to 67,556 and 150,646

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Solution

The third proportional to 67,556 and 150,646 is: 335,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,556 : 150,646 = 150,646 : x
  2. Step 2: Convert to fraction form
    67,556/150,646 = 150,646/x
  3. Step 3: Cross multiply
    67,556x = 150,646 × 150,646
  4. Step 4: Simplify right side
    67,556x = 22,694,217,316
  5. Step 5: Solve for x
    x = 22,694,217,316/67,556
  6. Step 6: Final answer
    x = 335,931.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.