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Finding the Third Proportional to 52,138.69 and 70,816.78

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Solution

The third proportional to 52,138.69 and 70,816.78 is: 96,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,138.69 : 70,816.78 = 70,816.78 : x
  2. Step 2: Convert to fraction form
    52,138.69/70,816.78 = 70,816.78/x
  3. Step 3: Cross multiply
    52,138.69x = 70,816.78 × 70,816.78
  4. Step 4: Simplify right side
    52,138.69x = 5,015,016,506.61
  5. Step 5: Solve for x
    x = 5,015,016,506.61/52,138.69
  6. Step 6: Final answer
    x = 96,186.09

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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.