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Finding the Third Proportional to 43,494 and 83,532

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Solution

The third proportional to 43,494 and 83,532 is: 160,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,494 : 83,532 = 83,532 : x
  2. Step 2: Convert to fraction form
    43,494/83,532 = 83,532/x
  3. Step 3: Cross multiply
    43,494x = 83,532 × 83,532
  4. Step 4: Simplify right side
    43,494x = 6,977,595,024
  5. Step 5: Solve for x
    x = 6,977,595,024/43,494
  6. Step 6: Final answer
    x = 160,426.61

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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.