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Finding the Third Proportional to 104,872 and 227,239

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Solution

The third proportional to 104,872 and 227,239 is: 492,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,872 : 227,239 = 227,239 : x
  2. Step 2: Convert to fraction form
    104,872/227,239 = 227,239/x
  3. Step 3: Cross multiply
    104,872x = 227,239 × 227,239
  4. Step 4: Simplify right side
    104,872x = 51,637,563,121
  5. Step 5: Solve for x
    x = 51,637,563,121/104,872
  6. Step 6: Final answer
    x = 492,386.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.