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Finding the Third Proportional to 43,209 and 65,687

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Solution

The third proportional to 43,209 and 65,687 is: 99,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,209 : 65,687 = 65,687 : x
  2. Step 2: Convert to fraction form
    43,209/65,687 = 65,687/x
  3. Step 3: Cross multiply
    43,209x = 65,687 × 65,687
  4. Step 4: Simplify right side
    43,209x = 4,314,781,969
  5. Step 5: Solve for x
    x = 4,314,781,969/43,209
  6. Step 6: Final answer
    x = 99,858.41

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.