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Finding the Third Proportional to 64,962 and 139,593.38

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Solution

The third proportional to 64,962 and 139,593.38 is: 299,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,962 : 139,593.38 = 139,593.38 : x
  2. Step 2: Convert to fraction form
    64,962/139,593.38 = 139,593.38/x
  3. Step 3: Cross multiply
    64,962x = 139,593.38 × 139,593.38
  4. Step 4: Simplify right side
    64,962x = 19,486,310,343.89
  5. Step 5: Solve for x
    x = 19,486,310,343.89/64,962
  6. Step 6: Final answer
    x = 299,964.75

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