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Finding the Third Proportional to 43,160 and 67,819

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Solution

The third proportional to 43,160 and 67,819 is: 106,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,160 : 67,819 = 67,819 : x
  2. Step 2: Convert to fraction form
    43,160/67,819 = 67,819/x
  3. Step 3: Cross multiply
    43,160x = 67,819 × 67,819
  4. Step 4: Simplify right side
    43,160x = 4,599,416,761
  5. Step 5: Solve for x
    x = 4,599,416,761/43,160
  6. Step 6: Final answer
    x = 106,566.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.