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Finding the Third Proportional to 43,491 and 83,526

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Solution

The third proportional to 43,491 and 83,526 is: 160,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,491 : 83,526 = 83,526 : x
  2. Step 2: Convert to fraction form
    43,491/83,526 = 83,526/x
  3. Step 3: Cross multiply
    43,491x = 83,526 × 83,526
  4. Step 4: Simplify right side
    43,491x = 6,976,592,676
  5. Step 5: Solve for x
    x = 6,976,592,676/43,491
  6. Step 6: Final answer
    x = 160,414.63

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.