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Finding the Third Proportional to 33,752 and 74,117

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Solution

The third proportional to 33,752 and 74,117 is: 162,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,752 : 74,117 = 74,117 : x
  2. Step 2: Convert to fraction form
    33,752/74,117 = 74,117/x
  3. Step 3: Cross multiply
    33,752x = 74,117 × 74,117
  4. Step 4: Simplify right side
    33,752x = 5,493,329,689
  5. Step 5: Solve for x
    x = 5,493,329,689/33,752
  6. Step 6: Final answer
    x = 162,755.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.