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Finding the Third Proportional to 66,216.75 and 143,721.75

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Solution

The third proportional to 66,216.75 and 143,721.75 is: 311,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,216.75 : 143,721.75 = 143,721.75 : x
  2. Step 2: Convert to fraction form
    66,216.75/143,721.75 = 143,721.75/x
  3. Step 3: Cross multiply
    66,216.75x = 143,721.75 × 143,721.75
  4. Step 4: Simplify right side
    66,216.75x = 20,655,941,423.06
  5. Step 5: Solve for x
    x = 20,655,941,423.06/66,216.75
  6. Step 6: Final answer
    x = 311,944.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.