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Finding the Third Proportional to 64,722 and 138,441

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Solution

The third proportional to 64,722 and 138,441 is: 296,126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,722 : 138,441 = 138,441 : x
  2. Step 2: Convert to fraction form
    64,722/138,441 = 138,441/x
  3. Step 3: Cross multiply
    64,722x = 138,441 × 138,441
  4. Step 4: Simplify right side
    64,722x = 19,165,910,481
  5. Step 5: Solve for x
    x = 19,165,910,481/64,722
  6. Step 6: Final answer
    x = 296,126.67

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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.