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Finding the Third Proportional to 64,524 and 137,799

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Solution

The third proportional to 64,524 and 137,799 is: 294,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,524 : 137,799 = 137,799 : x
  2. Step 2: Convert to fraction form
    64,524/137,799 = 137,799/x
  3. Step 3: Cross multiply
    64,524x = 137,799 × 137,799
  4. Step 4: Simplify right side
    64,524x = 18,988,564,401
  5. Step 5: Solve for x
    x = 18,988,564,401/64,524
  6. Step 6: Final answer
    x = 294,286.85

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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.