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Finding the Third Proportional to 56,456.05 and 82,564.00

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Solution

The third proportional to 56,456.05 and 82,564.00 is: 120,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,456.05 : 82,564.00 = 82,564.00 : x
  2. Step 2: Convert to fraction form
    56,456.05/82,564.00 = 82,564.00/x
  3. Step 3: Cross multiply
    56,456.05x = 82,564.00 × 82,564.00
  4. Step 4: Simplify right side
    56,456.05x = 6,816,813,450.97
  5. Step 5: Solve for x
    x = 6,816,813,450.97/56,456.05
  6. Step 6: Final answer
    x = 120,745.49

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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.