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Finding the Third Proportional to 73,890 and 110,241

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Solution

The third proportional to 73,890 and 110,241 is: 164,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,890 : 110,241 = 110,241 : x
  2. Step 2: Convert to fraction form
    73,890/110,241 = 110,241/x
  3. Step 3: Cross multiply
    73,890x = 110,241 × 110,241
  4. Step 4: Simplify right side
    73,890x = 12,153,078,081
  5. Step 5: Solve for x
    x = 12,153,078,081/73,890
  6. Step 6: Final answer
    x = 164,475.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.