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Finding the Third Proportional to 64,336 and 141,761

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Solution

The third proportional to 64,336 and 141,761 is: 312,362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,336 : 141,761 = 141,761 : x
  2. Step 2: Convert to fraction form
    64,336/141,761 = 141,761/x
  3. Step 3: Cross multiply
    64,336x = 141,761 × 141,761
  4. Step 4: Simplify right side
    64,336x = 20,096,181,121
  5. Step 5: Solve for x
    x = 20,096,181,121/64,336
  6. Step 6: Final answer
    x = 312,362.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.