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Finding the Third Proportional to 56,154 and 82,035

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Solution

The third proportional to 56,154 and 82,035 is: 119,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,154 : 82,035 = 82,035 : x
  2. Step 2: Convert to fraction form
    56,154/82,035 = 82,035/x
  3. Step 3: Cross multiply
    56,154x = 82,035 × 82,035
  4. Step 4: Simplify right side
    56,154x = 6,729,741,225
  5. Step 5: Solve for x
    x = 6,729,741,225/56,154
  6. Step 6: Final answer
    x = 119,844.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.