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Finding the Third Proportional to 64,443 and 141,972

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Solution

The third proportional to 64,443 and 141,972 is: 312,773.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,443 : 141,972 = 141,972 : x
  2. Step 2: Convert to fraction form
    64,443/141,972 = 141,972/x
  3. Step 3: Cross multiply
    64,443x = 141,972 × 141,972
  4. Step 4: Simplify right side
    64,443x = 20,156,048,784
  5. Step 5: Solve for x
    x = 20,156,048,784/64,443
  6. Step 6: Final answer
    x = 312,773.28

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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.