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Finding the Third Proportional to 43,089 and 64,374

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Solution

The third proportional to 43,089 and 64,374 is: 96,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,089 : 64,374 = 64,374 : x
  2. Step 2: Convert to fraction form
    43,089/64,374 = 64,374/x
  3. Step 3: Cross multiply
    43,089x = 64,374 × 64,374
  4. Step 4: Simplify right side
    43,089x = 4,144,011,876
  5. Step 5: Solve for x
    x = 4,144,011,876/43,089
  6. Step 6: Final answer
    x = 96,173.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.