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Finding the Third Proportional to 45,326 and 84,940

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Solution

The third proportional to 45,326 and 84,940 is: 159,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,326 : 84,940 = 84,940 : x
  2. Step 2: Convert to fraction form
    45,326/84,940 = 84,940/x
  3. Step 3: Cross multiply
    45,326x = 84,940 × 84,940
  4. Step 4: Simplify right side
    45,326x = 7,214,803,600
  5. Step 5: Solve for x
    x = 7,214,803,600/45,326
  6. Step 6: Final answer
    x = 159,175.83

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.