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Finding the Third Proportional to 43,282 and 65,208

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Solution

The third proportional to 43,282 and 65,208 is: 98,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,282 : 65,208 = 65,208 : x
  2. Step 2: Convert to fraction form
    43,282/65,208 = 65,208/x
  3. Step 3: Cross multiply
    43,282x = 65,208 × 65,208
  4. Step 4: Simplify right side
    43,282x = 4,252,083,264
  5. Step 5: Solve for x
    x = 4,252,083,264/43,282
  6. Step 6: Final answer
    x = 98,241.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.