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Finding the Third Proportional to 42,779 and 68,921.50

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Solution

The third proportional to 42,779 and 68,921.50 is: 111,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,779 : 68,921.50 = 68,921.50 : x
  2. Step 2: Convert to fraction form
    42,779/68,921.50 = 68,921.50/x
  3. Step 3: Cross multiply
    42,779x = 68,921.50 × 68,921.50
  4. Step 4: Simplify right side
    42,779x = 4,750,173,162.25
  5. Step 5: Solve for x
    x = 4,750,173,162.25/42,779
  6. Step 6: Final answer
    x = 111,039.84

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.