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Finding the Third Proportional to 41,459 and 88,828

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Solution

The third proportional to 41,459 and 88,828 is: 190,318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,459 : 88,828 = 88,828 : x
  2. Step 2: Convert to fraction form
    41,459/88,828 = 88,828/x
  3. Step 3: Cross multiply
    41,459x = 88,828 × 88,828
  4. Step 4: Simplify right side
    41,459x = 7,890,413,584
  5. Step 5: Solve for x
    x = 7,890,413,584/41,459
  6. Step 6: Final answer
    x = 190,318.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.