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Finding the Third Proportional to 90,779 and 139,997

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Solution

The third proportional to 90,779 and 139,997 is: 215,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,779 : 139,997 = 139,997 : x
  2. Step 2: Convert to fraction form
    90,779/139,997 = 139,997/x
  3. Step 3: Cross multiply
    90,779x = 139,997 × 139,997
  4. Step 4: Simplify right side
    90,779x = 19,599,160,009
  5. Step 5: Solve for x
    x = 19,599,160,009/90,779
  6. Step 6: Final answer
    x = 215,899.71

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