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Finding the Third Proportional to 78,355 and 169,177

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Solution

The third proportional to 78,355 and 169,177 is: 365,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,355 : 169,177 = 169,177 : x
  2. Step 2: Convert to fraction form
    78,355/169,177 = 169,177/x
  3. Step 3: Cross multiply
    78,355x = 169,177 × 169,177
  4. Step 4: Simplify right side
    78,355x = 28,620,857,329
  5. Step 5: Solve for x
    x = 28,620,857,329/78,355
  6. Step 6: Final answer
    x = 365,271.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.