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Finding the Third Proportional to 64,606 and 138,556

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Solution

The third proportional to 64,606 and 138,556 is: 297,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,606 : 138,556 = 138,556 : x
  2. Step 2: Convert to fraction form
    64,606/138,556 = 138,556/x
  3. Step 3: Cross multiply
    64,606x = 138,556 × 138,556
  4. Step 4: Simplify right side
    64,606x = 19,197,765,136
  5. Step 5: Solve for x
    x = 19,197,765,136/64,606
  6. Step 6: Final answer
    x = 297,151.43

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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.