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Finding the Third Proportional to 43,156 and 64,554

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Solution

The third proportional to 43,156 and 64,554 is: 96,561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,156 : 64,554 = 64,554 : x
  2. Step 2: Convert to fraction form
    43,156/64,554 = 64,554/x
  3. Step 3: Cross multiply
    43,156x = 64,554 × 64,554
  4. Step 4: Simplify right side
    43,156x = 4,167,218,916
  5. Step 5: Solve for x
    x = 4,167,218,916/43,156
  6. Step 6: Final answer
    x = 96,561.75

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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.