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Finding the Third Proportional to 56,509.84 and 76,745.29

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Solution

The third proportional to 56,509.84 and 76,745.29 is: 104,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,509.84 : 76,745.29 = 76,745.29 : x
  2. Step 2: Convert to fraction form
    56,509.84/76,745.29 = 76,745.29/x
  3. Step 3: Cross multiply
    56,509.84x = 76,745.29 × 76,745.29
  4. Step 4: Simplify right side
    56,509.84x = 5,889,838,793.71
  5. Step 5: Solve for x
    x = 5,889,838,793.71/56,509.84
  6. Step 6: Final answer
    x = 104,226.78

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.