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Finding the Third Proportional to 103,671 and 191,768

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Solution

The third proportional to 103,671 and 191,768 is: 354,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,671 : 191,768 = 191,768 : x
  2. Step 2: Convert to fraction form
    103,671/191,768 = 191,768/x
  3. Step 3: Cross multiply
    103,671x = 191,768 × 191,768
  4. Step 4: Simplify right side
    103,671x = 36,774,965,824
  5. Step 5: Solve for x
    x = 36,774,965,824/103,671
  6. Step 6: Final answer
    x = 354,727.61

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.