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Finding the Third Proportional to 48,642 and 76,203

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Solution

The third proportional to 48,642 and 76,203 is: 119,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,642 : 76,203 = 76,203 : x
  2. Step 2: Convert to fraction form
    48,642/76,203 = 76,203/x
  3. Step 3: Cross multiply
    48,642x = 76,203 × 76,203
  4. Step 4: Simplify right side
    48,642x = 5,806,897,209
  5. Step 5: Solve for x
    x = 5,806,897,209/48,642
  6. Step 6: Final answer
    x = 119,380.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.