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Finding the Third Proportional to 104,136 and 227,118

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Solution

The third proportional to 104,136 and 227,118 is: 495,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,136 : 227,118 = 227,118 : x
  2. Step 2: Convert to fraction form
    104,136/227,118 = 227,118/x
  3. Step 3: Cross multiply
    104,136x = 227,118 × 227,118
  4. Step 4: Simplify right side
    104,136x = 51,582,585,924
  5. Step 5: Solve for x
    x = 51,582,585,924/104,136
  6. Step 6: Final answer
    x = 495,338.65

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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.