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Finding the Third Proportional to 64,448 and 141,977

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Solution

The third proportional to 64,448 and 141,977 is: 312,771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,448 : 141,977 = 141,977 : x
  2. Step 2: Convert to fraction form
    64,448/141,977 = 141,977/x
  3. Step 3: Cross multiply
    64,448x = 141,977 × 141,977
  4. Step 4: Simplify right side
    64,448x = 20,157,468,529
  5. Step 5: Solve for x
    x = 20,157,468,529/64,448
  6. Step 6: Final answer
    x = 312,771.05

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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.