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Finding the Third Proportional to 90,776 and 139,992

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Solution

The third proportional to 90,776 and 139,992 is: 215,891.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,776 : 139,992 = 139,992 : x
  2. Step 2: Convert to fraction form
    90,776/139,992 = 139,992/x
  3. Step 3: Cross multiply
    90,776x = 139,992 × 139,992
  4. Step 4: Simplify right side
    90,776x = 19,597,760,064
  5. Step 5: Solve for x
    x = 19,597,760,064/90,776
  6. Step 6: Final answer
    x = 215,891.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.