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Finding the Third Proportional to 36,102 and 75,483

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Solution

The third proportional to 36,102 and 75,483 is: 157,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,102 : 75,483 = 75,483 : x
  2. Step 2: Convert to fraction form
    36,102/75,483 = 75,483/x
  3. Step 3: Cross multiply
    36,102x = 75,483 × 75,483
  4. Step 4: Simplify right side
    36,102x = 5,697,683,289
  5. Step 5: Solve for x
    x = 5,697,683,289/36,102
  6. Step 6: Final answer
    x = 157,821.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.