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Finding the Third Proportional to 84,533.63 and 131,645.25

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Solution

The third proportional to 84,533.63 and 131,645.25 is: 205,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,533.63 : 131,645.25 = 131,645.25 : x
  2. Step 2: Convert to fraction form
    84,533.63/131,645.25 = 131,645.25/x
  3. Step 3: Cross multiply
    84,533.63x = 131,645.25 × 131,645.25
  4. Step 4: Simplify right side
    84,533.63x = 17,330,471,847.56
  5. Step 5: Solve for x
    x = 17,330,471,847.56/84,533.63
  6. Step 6: Final answer
    x = 205,012.76

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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.