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Finding the Third Proportional to 104,138 and 227,536

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Solution

The third proportional to 104,138 and 227,536 is: 497,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,138 : 227,536 = 227,536 : x
  2. Step 2: Convert to fraction form
    104,138/227,536 = 227,536/x
  3. Step 3: Cross multiply
    104,138x = 227,536 × 227,536
  4. Step 4: Simplify right side
    104,138x = 51,772,631,296
  5. Step 5: Solve for x
    x = 51,772,631,296/104,138
  6. Step 6: Final answer
    x = 497,154.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.