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Finding the Third Proportional to 64,436 and 139,942

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Solution

The third proportional to 64,436 and 139,942 is: 303,925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,436 : 139,942 = 139,942 : x
  2. Step 2: Convert to fraction form
    64,436/139,942 = 139,942/x
  3. Step 3: Cross multiply
    64,436x = 139,942 × 139,942
  4. Step 4: Simplify right side
    64,436x = 19,583,763,364
  5. Step 5: Solve for x
    x = 19,583,763,364/64,436
  6. Step 6: Final answer
    x = 303,925.81

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