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Finding the Third Proportional to 56,934.14 and 81,103.78

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Solution

The third proportional to 56,934.14 and 81,103.78 is: 115,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,934.14 : 81,103.78 = 81,103.78 : x
  2. Step 2: Convert to fraction form
    56,934.14/81,103.78 = 81,103.78/x
  3. Step 3: Cross multiply
    56,934.14x = 81,103.78 × 81,103.78
  4. Step 4: Simplify right side
    56,934.14x = 6,577,823,333.05
  5. Step 5: Solve for x
    x = 6,577,823,333.05/56,934.14
  6. Step 6: Final answer
    x = 115,533.90

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.