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Finding the Third Proportional to 56,198 and 87,011

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Solution

The third proportional to 56,198 and 87,011 is: 134,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,198 : 87,011 = 87,011 : x
  2. Step 2: Convert to fraction form
    56,198/87,011 = 87,011/x
  3. Step 3: Cross multiply
    56,198x = 87,011 × 87,011
  4. Step 4: Simplify right side
    56,198x = 7,570,914,121
  5. Step 5: Solve for x
    x = 7,570,914,121/56,198
  6. Step 6: Final answer
    x = 134,718.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.