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Finding the Third Proportional to 78,625 and 169,765

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Solution

The third proportional to 78,625 and 169,765 is: 366,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,625 : 169,765 = 169,765 : x
  2. Step 2: Convert to fraction form
    78,625/169,765 = 169,765/x
  3. Step 3: Cross multiply
    78,625x = 169,765 × 169,765
  4. Step 4: Simplify right side
    78,625x = 28,820,155,225
  5. Step 5: Solve for x
    x = 28,820,155,225/78,625
  6. Step 6: Final answer
    x = 366,552.05

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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.