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Finding the Third Proportional to 37,106 and 79,612

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Solution

The third proportional to 37,106 and 79,612 is: 170,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,106 : 79,612 = 79,612 : x
  2. Step 2: Convert to fraction form
    37,106/79,612 = 79,612/x
  3. Step 3: Cross multiply
    37,106x = 79,612 × 79,612
  4. Step 4: Simplify right side
    37,106x = 6,338,070,544
  5. Step 5: Solve for x
    x = 6,338,070,544/37,106
  6. Step 6: Final answer
    x = 170,809.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.