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Finding the Third Proportional to 48,025.69 and 77,164.17

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Solution

The third proportional to 48,025.69 and 77,164.17 is: 123,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,025.69 : 77,164.17 = 77,164.17 : x
  2. Step 2: Convert to fraction form
    48,025.69/77,164.17 = 77,164.17/x
  3. Step 3: Cross multiply
    48,025.69x = 77,164.17 × 77,164.17
  4. Step 4: Simplify right side
    48,025.69x = 5,954,309,421.15
  5. Step 5: Solve for x
    x = 5,954,309,421.15/48,025.69
  6. Step 6: Final answer
    x = 123,981.76

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.