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Finding the Third Proportional to 84,738.66 and 131,206.92

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Solution

The third proportional to 84,738.66 and 131,206.92 is: 203,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,738.66 : 131,206.92 = 131,206.92 : x
  2. Step 2: Convert to fraction form
    84,738.66/131,206.92 = 131,206.92/x
  3. Step 3: Cross multiply
    84,738.66x = 131,206.92 × 131,206.92
  4. Step 4: Simplify right side
    84,738.66x = 17,215,256,347.91
  5. Step 5: Solve for x
    x = 17,215,256,347.91/84,738.66
  6. Step 6: Final answer
    x = 203,157.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.