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Finding the Third Proportional to 80,056 and 125,579.50

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Solution

The third proportional to 80,056 and 125,579.50 is: 196,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,056 : 125,579.50 = 125,579.50 : x
  2. Step 2: Convert to fraction form
    80,056/125,579.50 = 125,579.50/x
  3. Step 3: Cross multiply
    80,056x = 125,579.50 × 125,579.50
  4. Step 4: Simplify right side
    80,056x = 15,770,210,820.25
  5. Step 5: Solve for x
    x = 15,770,210,820.25/80,056
  6. Step 6: Final answer
    x = 196,989.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.