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Finding the Third Proportional to 37,206 and 80,703

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Solution

The third proportional to 37,206 and 80,703 is: 175,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,206 : 80,703 = 80,703 : x
  2. Step 2: Convert to fraction form
    37,206/80,703 = 80,703/x
  3. Step 3: Cross multiply
    37,206x = 80,703 × 80,703
  4. Step 4: Simplify right side
    37,206x = 6,512,974,209
  5. Step 5: Solve for x
    x = 6,512,974,209/37,206
  6. Step 6: Final answer
    x = 175,051.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.