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Finding the Third Proportional to 48,276 and 75,828

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Solution

The third proportional to 48,276 and 75,828 is: 119,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,276 : 75,828 = 75,828 : x
  2. Step 2: Convert to fraction form
    48,276/75,828 = 75,828/x
  3. Step 3: Cross multiply
    48,276x = 75,828 × 75,828
  4. Step 4: Simplify right side
    48,276x = 5,749,885,584
  5. Step 5: Solve for x
    x = 5,749,885,584/48,276
  6. Step 6: Final answer
    x = 119,104.43

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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.