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Finding the Third Proportional to 43,514 and 93,940

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Solution

The third proportional to 43,514 and 93,940 is: 202,801.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,514 : 93,940 = 93,940 : x
  2. Step 2: Convert to fraction form
    43,514/93,940 = 93,940/x
  3. Step 3: Cross multiply
    43,514x = 93,940 × 93,940
  4. Step 4: Simplify right side
    43,514x = 8,824,723,600
  5. Step 5: Solve for x
    x = 8,824,723,600/43,514
  6. Step 6: Final answer
    x = 202,801.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.