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Finding the Third Proportional to 87,427.69 and 131,465.53

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Solution

The third proportional to 87,427.69 and 131,465.53 is: 197,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,427.69 : 131,465.53 = 131,465.53 : x
  2. Step 2: Convert to fraction form
    87,427.69/131,465.53 = 131,465.53/x
  3. Step 3: Cross multiply
    87,427.69x = 131,465.53 × 131,465.53
  4. Step 4: Simplify right side
    87,427.69x = 17,283,185,906.84
  5. Step 5: Solve for x
    x = 17,283,185,906.84/87,427.69
  6. Step 6: Final answer
    x = 197,685.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.