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Finding the Third Proportional to 78,561.50 and 169,573

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Solution

The third proportional to 78,561.50 and 169,573 is: 366,019.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,561.50 : 169,573 = 169,573 : x
  2. Step 2: Convert to fraction form
    78,561.50/169,573 = 169,573/x
  3. Step 3: Cross multiply
    78,561.50x = 169,573 × 169,573
  4. Step 4: Simplify right side
    78,561.50x = 28,755,002,329
  5. Step 5: Solve for x
    x = 28,755,002,329/78,561.50
  6. Step 6: Final answer
    x = 366,019.01

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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.