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Finding the Third Proportional to 64,742 and 138,479

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Solution

The third proportional to 64,742 and 138,479 is: 296,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,742 : 138,479 = 138,479 : x
  2. Step 2: Convert to fraction form
    64,742/138,479 = 138,479/x
  3. Step 3: Cross multiply
    64,742x = 138,479 × 138,479
  4. Step 4: Simplify right side
    64,742x = 19,176,433,441
  5. Step 5: Solve for x
    x = 19,176,433,441/64,742
  6. Step 6: Final answer
    x = 296,197.73

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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.