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Finding the Third Proportional to 36,215 and 75,737

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Solution

The third proportional to 36,215 and 75,737 is: 158,389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,215 : 75,737 = 75,737 : x
  2. Step 2: Convert to fraction form
    36,215/75,737 = 75,737/x
  3. Step 3: Cross multiply
    36,215x = 75,737 × 75,737
  4. Step 4: Simplify right side
    36,215x = 5,736,093,169
  5. Step 5: Solve for x
    x = 5,736,093,169/36,215
  6. Step 6: Final answer
    x = 158,389.98

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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.