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Finding the Third Proportional to 63,773 and 92,188

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Solution

The third proportional to 63,773 and 92,188 is: 133,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,773 : 92,188 = 92,188 : x
  2. Step 2: Convert to fraction form
    63,773/92,188 = 92,188/x
  3. Step 3: Cross multiply
    63,773x = 92,188 × 92,188
  4. Step 4: Simplify right side
    63,773x = 8,498,627,344
  5. Step 5: Solve for x
    x = 8,498,627,344/63,773
  6. Step 6: Final answer
    x = 133,263.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.