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Finding the Third Proportional to 63,219 and 92,493

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Solution

The third proportional to 63,219 and 92,493 is: 135,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,219 : 92,493 = 92,493 : x
  2. Step 2: Convert to fraction form
    63,219/92,493 = 92,493/x
  3. Step 3: Cross multiply
    63,219x = 92,493 × 92,493
  4. Step 4: Simplify right side
    63,219x = 8,554,955,049
  5. Step 5: Solve for x
    x = 8,554,955,049/63,219
  6. Step 6: Final answer
    x = 135,322.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.