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Finding the Third Proportional to 77,329.50 and 169,605

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Solution

The third proportional to 77,329.50 and 169,605 is: 371,990.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,329.50 : 169,605 = 169,605 : x
  2. Step 2: Convert to fraction form
    77,329.50/169,605 = 169,605/x
  3. Step 3: Cross multiply
    77,329.50x = 169,605 × 169,605
  4. Step 4: Simplify right side
    77,329.50x = 28,765,856,025
  5. Step 5: Solve for x
    x = 28,765,856,025/77,329.50
  6. Step 6: Final answer
    x = 371,990.72

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