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Finding the Third Proportional to 84,497.63 and 131,596.22

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Solution

The third proportional to 84,497.63 and 131,596.22 is: 204,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,497.63 : 131,596.22 = 131,596.22 : x
  2. Step 2: Convert to fraction form
    84,497.63/131,596.22 = 131,596.22/x
  3. Step 3: Cross multiply
    84,497.63x = 131,596.22 × 131,596.22
  4. Step 4: Simplify right side
    84,497.63x = 17,317,564,789.30
  5. Step 5: Solve for x
    x = 17,317,564,789.30/84,497.63
  6. Step 6: Final answer
    x = 204,947.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.