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Finding the Third Proportional to 43,010 and 87,748

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Solution

The third proportional to 43,010 and 87,748 is: 179,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,010 : 87,748 = 87,748 : x
  2. Step 2: Convert to fraction form
    43,010/87,748 = 87,748/x
  3. Step 3: Cross multiply
    43,010x = 87,748 × 87,748
  4. Step 4: Simplify right side
    43,010x = 7,699,711,504
  5. Step 5: Solve for x
    x = 7,699,711,504/43,010
  6. Step 6: Final answer
    x = 179,021.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.