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Finding the Third Proportional to 137,832 and 202,704

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Solution

The third proportional to 137,832 and 202,704 is: 298,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,832 : 202,704 = 202,704 : x
  2. Step 2: Convert to fraction form
    137,832/202,704 = 202,704/x
  3. Step 3: Cross multiply
    137,832x = 202,704 × 202,704
  4. Step 4: Simplify right side
    137,832x = 41,088,911,616
  5. Step 5: Solve for x
    x = 41,088,911,616/137,832
  6. Step 6: Final answer
    x = 298,108.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.