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Finding the Third Proportional to 104,076 and 227,010

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Solution

The third proportional to 104,076 and 227,010 is: 495,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,076 : 227,010 = 227,010 : x
  2. Step 2: Convert to fraction form
    104,076/227,010 = 227,010/x
  3. Step 3: Cross multiply
    104,076x = 227,010 × 227,010
  4. Step 4: Simplify right side
    104,076x = 51,533,540,100
  5. Step 5: Solve for x
    x = 51,533,540,100/104,076
  6. Step 6: Final answer
    x = 495,152.97

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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.