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Finding the Third Proportional to 72,777 and 110,479.50

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Solution

The third proportional to 72,777 and 110,479.50 is: 167,713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,777 : 110,479.50 = 110,479.50 : x
  2. Step 2: Convert to fraction form
    72,777/110,479.50 = 110,479.50/x
  3. Step 3: Cross multiply
    72,777x = 110,479.50 × 110,479.50
  4. Step 4: Simplify right side
    72,777x = 12,205,719,920.25
  5. Step 5: Solve for x
    x = 12,205,719,920.25/72,777
  6. Step 6: Final answer
    x = 167,713.97

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.