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Finding the Third Proportional to 64,569 and 139,860

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Solution

The third proportional to 64,569 and 139,860 is: 302,944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,569 : 139,860 = 139,860 : x
  2. Step 2: Convert to fraction form
    64,569/139,860 = 139,860/x
  3. Step 3: Cross multiply
    64,569x = 139,860 × 139,860
  4. Step 4: Simplify right side
    64,569x = 19,560,819,600
  5. Step 5: Solve for x
    x = 19,560,819,600/64,569
  6. Step 6: Final answer
    x = 302,944.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.