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Finding the Third Proportional to 56,252 and 84,222

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Solution

The third proportional to 56,252 and 84,222 is: 126,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,252 : 84,222 = 84,222 : x
  2. Step 2: Convert to fraction form
    56,252/84,222 = 84,222/x
  3. Step 3: Cross multiply
    56,252x = 84,222 × 84,222
  4. Step 4: Simplify right side
    56,252x = 7,093,345,284
  5. Step 5: Solve for x
    x = 7,093,345,284/56,252
  6. Step 6: Final answer
    x = 126,099.43

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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.