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Finding the Third Proportional to 43,542 and 65,144.25

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Solution

The third proportional to 43,542 and 65,144.25 is: 97,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,542 : 65,144.25 = 65,144.25 : x
  2. Step 2: Convert to fraction form
    43,542/65,144.25 = 65,144.25/x
  3. Step 3: Cross multiply
    43,542x = 65,144.25 × 65,144.25
  4. Step 4: Simplify right side
    43,542x = 4,243,773,308.06
  5. Step 5: Solve for x
    x = 4,243,773,308.06/43,542
  6. Step 6: Final answer
    x = 97,463.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.