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Finding the Third Proportional to 67,655 and 144,697

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Solution

The third proportional to 67,655 and 144,697 is: 309,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,655 : 144,697 = 144,697 : x
  2. Step 2: Convert to fraction form
    67,655/144,697 = 144,697/x
  3. Step 3: Cross multiply
    67,655x = 144,697 × 144,697
  4. Step 4: Simplify right side
    67,655x = 20,937,221,809
  5. Step 5: Solve for x
    x = 20,937,221,809/67,655
  6. Step 6: Final answer
    x = 309,470.43

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Why These Related Problems?

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