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Finding the Third Proportional to 64,941 and 139,914

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Solution

The third proportional to 64,941 and 139,914 is: 301,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,941 : 139,914 = 139,914 : x
  2. Step 2: Convert to fraction form
    64,941/139,914 = 139,914/x
  3. Step 3: Cross multiply
    64,941x = 139,914 × 139,914
  4. Step 4: Simplify right side
    64,941x = 19,575,927,396
  5. Step 5: Solve for x
    x = 19,575,927,396/64,941
  6. Step 6: Final answer
    x = 301,441.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.