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Finding the Third Proportional to 64,269 and 137,529

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Solution

The third proportional to 64,269 and 137,529 is: 294,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,269 : 137,529 = 137,529 : x
  2. Step 2: Convert to fraction form
    64,269/137,529 = 137,529/x
  3. Step 3: Cross multiply
    64,269x = 137,529 × 137,529
  4. Step 4: Simplify right side
    64,269x = 18,914,225,841
  5. Step 5: Solve for x
    x = 18,914,225,841/64,269
  6. Step 6: Final answer
    x = 294,297.81

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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.