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Finding the Third Proportional to 95,040 and 204,118

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Solution

The third proportional to 95,040 and 204,118 is: 438,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,040 : 204,118 = 204,118 : x
  2. Step 2: Convert to fraction form
    95,040/204,118 = 204,118/x
  3. Step 3: Cross multiply
    95,040x = 204,118 × 204,118
  4. Step 4: Simplify right side
    95,040x = 41,664,157,924
  5. Step 5: Solve for x
    x = 41,664,157,924/95,040
  6. Step 6: Final answer
    x = 438,385.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.