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Finding the Third Proportional to 103,678 and 158,794

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Solution

The third proportional to 103,678 and 158,794 is: 243,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,678 : 158,794 = 158,794 : x
  2. Step 2: Convert to fraction form
    103,678/158,794 = 158,794/x
  3. Step 3: Cross multiply
    103,678x = 158,794 × 158,794
  4. Step 4: Simplify right side
    103,678x = 25,215,534,436
  5. Step 5: Solve for x
    x = 25,215,534,436/103,678
  6. Step 6: Final answer
    x = 243,210.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.