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Finding the Third Proportional to 43,752 and 95,817

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Solution

The third proportional to 43,752 and 95,817 is: 209,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,752 : 95,817 = 95,817 : x
  2. Step 2: Convert to fraction form
    43,752/95,817 = 95,817/x
  3. Step 3: Cross multiply
    43,752x = 95,817 × 95,817
  4. Step 4: Simplify right side
    43,752x = 9,180,897,489
  5. Step 5: Solve for x
    x = 9,180,897,489/43,752
  6. Step 6: Final answer
    x = 209,839.49

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