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Finding the Third Proportional to 48,292 and 101,828

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Solution

The third proportional to 48,292 and 101,828 is: 214,713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,292 : 101,828 = 101,828 : x
  2. Step 2: Convert to fraction form
    48,292/101,828 = 101,828/x
  3. Step 3: Cross multiply
    48,292x = 101,828 × 101,828
  4. Step 4: Simplify right side
    48,292x = 10,368,941,584
  5. Step 5: Solve for x
    x = 10,368,941,584/48,292
  6. Step 6: Final answer
    x = 214,713.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.