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Finding the Third Proportional to 67,216.50 and 144,909

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Solution

The third proportional to 67,216.50 and 144,909 is: 312,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,216.50 : 144,909 = 144,909 : x
  2. Step 2: Convert to fraction form
    67,216.50/144,909 = 144,909/x
  3. Step 3: Cross multiply
    67,216.50x = 144,909 × 144,909
  4. Step 4: Simplify right side
    67,216.50x = 20,998,618,281
  5. Step 5: Solve for x
    x = 20,998,618,281/67,216.50
  6. Step 6: Final answer
    x = 312,402.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.