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Finding the Third Proportional to 43,548 and 65,156

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Solution

The third proportional to 43,548 and 65,156 is: 97,485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,548 : 65,156 = 65,156 : x
  2. Step 2: Convert to fraction form
    43,548/65,156 = 65,156/x
  3. Step 3: Cross multiply
    43,548x = 65,156 × 65,156
  4. Step 4: Simplify right side
    43,548x = 4,245,304,336
  5. Step 5: Solve for x
    x = 4,245,304,336/43,548
  6. Step 6: Final answer
    x = 97,485.63

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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.