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Finding the Third Proportional to 43,092 and 64,378

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Solution

The third proportional to 43,092 and 64,378 is: 96,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,092 : 64,378 = 64,378 : x
  2. Step 2: Convert to fraction form
    43,092/64,378 = 64,378/x
  3. Step 3: Cross multiply
    43,092x = 64,378 × 64,378
  4. Step 4: Simplify right side
    43,092x = 4,144,526,884
  5. Step 5: Solve for x
    x = 4,144,526,884/43,092
  6. Step 6: Final answer
    x = 96,178.57

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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.