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Finding the Third Proportional to 73,884 and 157,596

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Solution

The third proportional to 73,884 and 157,596 is: 336,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,884 : 157,596 = 157,596 : x
  2. Step 2: Convert to fraction form
    73,884/157,596 = 157,596/x
  3. Step 3: Cross multiply
    73,884x = 157,596 × 157,596
  4. Step 4: Simplify right side
    73,884x = 24,836,499,216
  5. Step 5: Solve for x
    x = 24,836,499,216/73,884
  6. Step 6: Final answer
    x = 336,155.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.