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Finding the Third Proportional to 55,704.88 and 82,328.75

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Solution

The third proportional to 55,704.88 and 82,328.75 is: 121,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,704.88 : 82,328.75 = 82,328.75 : x
  2. Step 2: Convert to fraction form
    55,704.88/82,328.75 = 82,328.75/x
  3. Step 3: Cross multiply
    55,704.88x = 82,328.75 × 82,328.75
  4. Step 4: Simplify right side
    55,704.88x = 6,778,023,076.56
  5. Step 5: Solve for x
    x = 6,778,023,076.56/55,704.88
  6. Step 6: Final answer
    x = 121,677.38

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.