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Finding the Third Proportional to 66,642.75 and 143,947.13

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Solution

The third proportional to 66,642.75 and 143,947.13 is: 310,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,642.75 : 143,947.13 = 143,947.13 : x
  2. Step 2: Convert to fraction form
    66,642.75/143,947.13 = 143,947.13/x
  3. Step 3: Cross multiply
    66,642.75x = 143,947.13 × 143,947.13
  4. Step 4: Simplify right side
    66,642.75x = 20,720,774,795.77
  5. Step 5: Solve for x
    x = 20,720,774,795.77/66,642.75
  6. Step 6: Final answer
    x = 310,923.17

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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.