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Finding the Third Proportional to 86,767 and 175,948

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Solution

The third proportional to 86,767 and 175,948 is: 356,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,767 : 175,948 = 175,948 : x
  2. Step 2: Convert to fraction form
    86,767/175,948 = 175,948/x
  3. Step 3: Cross multiply
    86,767x = 175,948 × 175,948
  4. Step 4: Simplify right side
    86,767x = 30,957,698,704
  5. Step 5: Solve for x
    x = 30,957,698,704/86,767
  6. Step 6: Final answer
    x = 356,791.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.