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Finding the Third Proportional to 90,118 and 131,753

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Solution

The third proportional to 90,118 and 131,753 is: 192,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,118 : 131,753 = 131,753 : x
  2. Step 2: Convert to fraction form
    90,118/131,753 = 131,753/x
  3. Step 3: Cross multiply
    90,118x = 131,753 × 131,753
  4. Step 4: Simplify right side
    90,118x = 17,358,853,009
  5. Step 5: Solve for x
    x = 17,358,853,009/90,118
  6. Step 6: Final answer
    x = 192,623.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.