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Finding the Third Proportional to 78,093 and 170,928

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Solution

The third proportional to 78,093 and 170,928 is: 374,122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,093 : 170,928 = 170,928 : x
  2. Step 2: Convert to fraction form
    78,093/170,928 = 170,928/x
  3. Step 3: Cross multiply
    78,093x = 170,928 × 170,928
  4. Step 4: Simplify right side
    78,093x = 29,216,381,184
  5. Step 5: Solve for x
    x = 29,216,381,184/78,093
  6. Step 6: Final answer
    x = 374,122.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.