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Finding the Third Proportional to 66,300 and 143,888

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Solution

The third proportional to 66,300 and 143,888 is: 312,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,300 : 143,888 = 143,888 : x
  2. Step 2: Convert to fraction form
    66,300/143,888 = 143,888/x
  3. Step 3: Cross multiply
    66,300x = 143,888 × 143,888
  4. Step 4: Simplify right side
    66,300x = 20,703,756,544
  5. Step 5: Solve for x
    x = 20,703,756,544/66,300
  6. Step 6: Final answer
    x = 312,273.85

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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.