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Finding the Third Proportional to 54,905 and 100,742

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Solution

The third proportional to 54,905 and 100,742 is: 184,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,905 : 100,742 = 100,742 : x
  2. Step 2: Convert to fraction form
    54,905/100,742 = 100,742/x
  3. Step 3: Cross multiply
    54,905x = 100,742 × 100,742
  4. Step 4: Simplify right side
    54,905x = 10,148,950,564
  5. Step 5: Solve for x
    x = 10,148,950,564/54,905
  6. Step 6: Final answer
    x = 184,845.65

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.