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Finding the Third Proportional to 44,526 and 95,982

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Solution

The third proportional to 44,526 and 95,982 is: 206,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,526 : 95,982 = 95,982 : x
  2. Step 2: Convert to fraction form
    44,526/95,982 = 95,982/x
  3. Step 3: Cross multiply
    44,526x = 95,982 × 95,982
  4. Step 4: Simplify right side
    44,526x = 9,212,544,324
  5. Step 5: Solve for x
    x = 9,212,544,324/44,526
  6. Step 6: Final answer
    x = 206,902.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.