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Finding the Third Proportional to 43,983 and 96,282

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Solution

The third proportional to 43,983 and 96,282 is: 210,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,983 : 96,282 = 96,282 : x
  2. Step 2: Convert to fraction form
    43,983/96,282 = 96,282/x
  3. Step 3: Cross multiply
    43,983x = 96,282 × 96,282
  4. Step 4: Simplify right side
    43,983x = 9,270,223,524
  5. Step 5: Solve for x
    x = 9,270,223,524/43,983
  6. Step 6: Final answer
    x = 210,768.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.