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Finding the Third Proportional to 37,767 and 88,207

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Solution

The third proportional to 37,767 and 88,207 is: 206,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,767 : 88,207 = 88,207 : x
  2. Step 2: Convert to fraction form
    37,767/88,207 = 88,207/x
  3. Step 3: Cross multiply
    37,767x = 88,207 × 88,207
  4. Step 4: Simplify right side
    37,767x = 7,780,474,849
  5. Step 5: Solve for x
    x = 7,780,474,849/37,767
  6. Step 6: Final answer
    x = 206,012.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.