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Finding the Third Proportional to 89,931 and 193,713

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Solution

The third proportional to 89,931 and 193,713 is: 417,261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,931 : 193,713 = 193,713 : x
  2. Step 2: Convert to fraction form
    89,931/193,713 = 193,713/x
  3. Step 3: Cross multiply
    89,931x = 193,713 × 193,713
  4. Step 4: Simplify right side
    89,931x = 37,524,726,369
  5. Step 5: Solve for x
    x = 37,524,726,369/89,931
  6. Step 6: Final answer
    x = 417,261.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.