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Finding the Third Proportional to 62,250 and 143,961

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Solution

The third proportional to 62,250 and 143,961 is: 332,928.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,250 : 143,961 = 143,961 : x
  2. Step 2: Convert to fraction form
    62,250/143,961 = 143,961/x
  3. Step 3: Cross multiply
    62,250x = 143,961 × 143,961
  4. Step 4: Simplify right side
    62,250x = 20,724,769,521
  5. Step 5: Solve for x
    x = 20,724,769,521/62,250
  6. Step 6: Final answer
    x = 332,928.02

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.