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Finding the Third Proportional to 92,502 and 138,766

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Solution

The third proportional to 92,502 and 138,766 is: 208,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,502 : 138,766 = 138,766 : x
  2. Step 2: Convert to fraction form
    92,502/138,766 = 138,766/x
  3. Step 3: Cross multiply
    92,502x = 138,766 × 138,766
  4. Step 4: Simplify right side
    92,502x = 19,256,002,756
  5. Step 5: Solve for x
    x = 19,256,002,756/92,502
  6. Step 6: Final answer
    x = 208,168.50

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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.