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Finding the Third Proportional to 86,366.25 and 131,648.63

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Solution

The third proportional to 86,366.25 and 131,648.63 is: 200,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,366.25 : 131,648.63 = 131,648.63 : x
  2. Step 2: Convert to fraction form
    86,366.25/131,648.63 = 131,648.63/x
  3. Step 3: Cross multiply
    86,366.25x = 131,648.63 × 131,648.63
  4. Step 4: Simplify right side
    86,366.25x = 17,331,360,464.39
  5. Step 5: Solve for x
    x = 17,331,360,464.39/86,366.25
  6. Step 6: Final answer
    x = 200,672.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.