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Finding the Third Proportional to 42,276 and 62,189

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Solution

The third proportional to 42,276 and 62,189 is: 91,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,276 : 62,189 = 62,189 : x
  2. Step 2: Convert to fraction form
    42,276/62,189 = 62,189/x
  3. Step 3: Cross multiply
    42,276x = 62,189 × 62,189
  4. Step 4: Simplify right side
    42,276x = 3,867,471,721
  5. Step 5: Solve for x
    x = 3,867,471,721/42,276
  6. Step 6: Final answer
    x = 91,481.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.