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Finding the Third Proportional to 78,211 and 170,767

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Solution

The third proportional to 78,211 and 170,767 is: 372,855.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,211 : 170,767 = 170,767 : x
  2. Step 2: Convert to fraction form
    78,211/170,767 = 170,767/x
  3. Step 3: Cross multiply
    78,211x = 170,767 × 170,767
  4. Step 4: Simplify right side
    78,211x = 29,161,368,289
  5. Step 5: Solve for x
    x = 29,161,368,289/78,211
  6. Step 6: Final answer
    x = 372,855.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.