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Finding the Third Proportional to 84,758.06 and 131,322.94

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Solution

The third proportional to 84,758.06 and 131,322.94 is: 203,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,758.06 : 131,322.94 = 131,322.94 : x
  2. Step 2: Convert to fraction form
    84,758.06/131,322.94 = 131,322.94/x
  3. Step 3: Cross multiply
    84,758.06x = 131,322.94 × 131,322.94
  4. Step 4: Simplify right side
    84,758.06x = 17,245,713,913.63
  5. Step 5: Solve for x
    x = 17,245,713,913.63/84,758.06
  6. Step 6: Final answer
    x = 203,469.89

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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.