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Finding the Third Proportional to 58,277 and 87,578

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Solution

The third proportional to 58,277 and 87,578 is: 131,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,277 : 87,578 = 87,578 : x
  2. Step 2: Convert to fraction form
    58,277/87,578 = 87,578/x
  3. Step 3: Cross multiply
    58,277x = 87,578 × 87,578
  4. Step 4: Simplify right side
    58,277x = 7,669,906,084
  5. Step 5: Solve for x
    x = 7,669,906,084/58,277
  6. Step 6: Final answer
    x = 131,611.20

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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.