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Finding the Third Proportional to 103,713 and 227,514

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Solution

The third proportional to 103,713 and 227,514 is: 499,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,713 : 227,514 = 227,514 : x
  2. Step 2: Convert to fraction form
    103,713/227,514 = 227,514/x
  3. Step 3: Cross multiply
    103,713x = 227,514 × 227,514
  4. Step 4: Simplify right side
    103,713x = 51,762,620,196
  5. Step 5: Solve for x
    x = 51,762,620,196/103,713
  6. Step 6: Final answer
    x = 499,094.81

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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.