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Finding the Third Proportional to 67,943 and 144,107.50

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Solution

The third proportional to 67,943 and 144,107.50 is: 305,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,943 : 144,107.50 = 144,107.50 : x
  2. Step 2: Convert to fraction form
    67,943/144,107.50 = 144,107.50/x
  3. Step 3: Cross multiply
    67,943x = 144,107.50 × 144,107.50
  4. Step 4: Simplify right side
    67,943x = 20,766,971,556.25
  5. Step 5: Solve for x
    x = 20,766,971,556.25/67,943
  6. Step 6: Final answer
    x = 305,652.85

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.