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Finding the Third Proportional to 64,940 and 139,996

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Solution

The third proportional to 64,940 and 139,996 is: 301,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,940 : 139,996 = 139,996 : x
  2. Step 2: Convert to fraction form
    64,940/139,996 = 139,996/x
  3. Step 3: Cross multiply
    64,940x = 139,996 × 139,996
  4. Step 4: Simplify right side
    64,940x = 19,598,880,016
  5. Step 5: Solve for x
    x = 19,598,880,016/64,940
  6. Step 6: Final answer
    x = 301,799.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.