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Finding the Third Proportional to 51,916 and 115,514

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Solution

The third proportional to 51,916 and 115,514 is: 257,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,916 : 115,514 = 115,514 : x
  2. Step 2: Convert to fraction form
    51,916/115,514 = 115,514/x
  3. Step 3: Cross multiply
    51,916x = 115,514 × 115,514
  4. Step 4: Simplify right side
    51,916x = 13,343,484,196
  5. Step 5: Solve for x
    x = 13,343,484,196/51,916
  6. Step 6: Final answer
    x = 257,020.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.