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Finding the Third Proportional to 68,103 and 158,258

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Solution

The third proportional to 68,103 and 158,258 is: 367,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,103 : 158,258 = 158,258 : x
  2. Step 2: Convert to fraction form
    68,103/158,258 = 158,258/x
  3. Step 3: Cross multiply
    68,103x = 158,258 × 158,258
  4. Step 4: Simplify right side
    68,103x = 25,045,594,564
  5. Step 5: Solve for x
    x = 25,045,594,564/68,103
  6. Step 6: Final answer
    x = 367,760.52

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.