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Finding the Third Proportional to 42,736 and 93,514

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Solution

The third proportional to 42,736 and 93,514 is: 204,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,736 : 93,514 = 93,514 : x
  2. Step 2: Convert to fraction form
    42,736/93,514 = 93,514/x
  3. Step 3: Cross multiply
    42,736x = 93,514 × 93,514
  4. Step 4: Simplify right side
    42,736x = 8,744,868,196
  5. Step 5: Solve for x
    x = 8,744,868,196/42,736
  6. Step 6: Final answer
    x = 204,625.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.