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Finding the Third Proportional to 67,287 and 144,230

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Solution

The third proportional to 67,287 and 144,230 is: 309,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,287 : 144,230 = 144,230 : x
  2. Step 2: Convert to fraction form
    67,287/144,230 = 144,230/x
  3. Step 3: Cross multiply
    67,287x = 144,230 × 144,230
  4. Step 4: Simplify right side
    67,287x = 20,802,292,900
  5. Step 5: Solve for x
    x = 20,802,292,900/67,287
  6. Step 6: Final answer
    x = 309,157.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.