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Finding the Third Proportional to 72,322 and 111,966

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Solution

The third proportional to 72,322 and 111,966 is: 173,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,322 : 111,966 = 111,966 : x
  2. Step 2: Convert to fraction form
    72,322/111,966 = 111,966/x
  3. Step 3: Cross multiply
    72,322x = 111,966 × 111,966
  4. Step 4: Simplify right side
    72,322x = 12,536,385,156
  5. Step 5: Solve for x
    x = 12,536,385,156/72,322
  6. Step 6: Final answer
    x = 173,341.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.