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Finding the Third Proportional to 103,681 and 227,071

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Solution

The third proportional to 103,681 and 227,071 is: 497,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,681 : 227,071 = 227,071 : x
  2. Step 2: Convert to fraction form
    103,681/227,071 = 227,071/x
  3. Step 3: Cross multiply
    103,681x = 227,071 × 227,071
  4. Step 4: Simplify right side
    103,681x = 51,561,239,041
  5. Step 5: Solve for x
    x = 51,561,239,041/103,681
  6. Step 6: Final answer
    x = 497,306.54

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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.