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Finding the Third Proportional to 43,853 and 64,141

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Solution

The third proportional to 43,853 and 64,141 is: 93,814.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,853 : 64,141 = 64,141 : x
  2. Step 2: Convert to fraction form
    43,853/64,141 = 64,141/x
  3. Step 3: Cross multiply
    43,853x = 64,141 × 64,141
  4. Step 4: Simplify right side
    43,853x = 4,114,067,881
  5. Step 5: Solve for x
    x = 4,114,067,881/43,853
  6. Step 6: Final answer
    x = 93,814.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.