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Finding the Third Proportional to 44,288 and 95,648

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Solution

The third proportional to 44,288 and 95,648 is: 206,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,288 : 95,648 = 95,648 : x
  2. Step 2: Convert to fraction form
    44,288/95,648 = 95,648/x
  3. Step 3: Cross multiply
    44,288x = 95,648 × 95,648
  4. Step 4: Simplify right side
    44,288x = 9,148,539,904
  5. Step 5: Solve for x
    x = 9,148,539,904/44,288
  6. Step 6: Final answer
    x = 206,569.27

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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.