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Finding the Third Proportional to 113,686 and 239,156

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Solution

The third proportional to 113,686 and 239,156 is: 503,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,686 : 239,156 = 239,156 : x
  2. Step 2: Convert to fraction form
    113,686/239,156 = 239,156/x
  3. Step 3: Cross multiply
    113,686x = 239,156 × 239,156
  4. Step 4: Simplify right side
    113,686x = 57,195,592,336
  5. Step 5: Solve for x
    x = 57,195,592,336/113,686
  6. Step 6: Final answer
    x = 503,101.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.