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Finding the Third Proportional to 43,242 and 65,750

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Solution

The third proportional to 43,242 and 65,750 is: 99,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,242 : 65,750 = 65,750 : x
  2. Step 2: Convert to fraction form
    43,242/65,750 = 65,750/x
  3. Step 3: Cross multiply
    43,242x = 65,750 × 65,750
  4. Step 4: Simplify right side
    43,242x = 4,323,062,500
  5. Step 5: Solve for x
    x = 4,323,062,500/43,242
  6. Step 6: Final answer
    x = 99,973.69

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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.