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Finding the Third Proportional to 78,702 and 169,965

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Solution

The third proportional to 78,702 and 169,965 is: 367,056.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,702 : 169,965 = 169,965 : x
  2. Step 2: Convert to fraction form
    78,702/169,965 = 169,965/x
  3. Step 3: Cross multiply
    78,702x = 169,965 × 169,965
  4. Step 4: Simplify right side
    78,702x = 28,888,101,225
  5. Step 5: Solve for x
    x = 28,888,101,225/78,702
  6. Step 6: Final answer
    x = 367,056.76

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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.