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Finding the Third Proportional to 44,284 and 95,952

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Solution

The third proportional to 44,284 and 95,952 is: 207,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,284 : 95,952 = 95,952 : x
  2. Step 2: Convert to fraction form
    44,284/95,952 = 95,952/x
  3. Step 3: Cross multiply
    44,284x = 95,952 × 95,952
  4. Step 4: Simplify right side
    44,284x = 9,206,786,304
  5. Step 5: Solve for x
    x = 9,206,786,304/44,284
  6. Step 6: Final answer
    x = 207,903.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.