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Finding the Third Proportional to 64,150 and 139,946

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Solution

The third proportional to 64,150 and 139,946 is: 305,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,150 : 139,946 = 139,946 : x
  2. Step 2: Convert to fraction form
    64,150/139,946 = 139,946/x
  3. Step 3: Cross multiply
    64,150x = 139,946 × 139,946
  4. Step 4: Simplify right side
    64,150x = 19,584,882,916
  5. Step 5: Solve for x
    x = 19,584,882,916/64,150
  6. Step 6: Final answer
    x = 305,298.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.