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Finding the Third Proportional to 72,322 and 111,972

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Solution

The third proportional to 72,322 and 111,972 is: 173,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,322 : 111,972 = 111,972 : x
  2. Step 2: Convert to fraction form
    72,322/111,972 = 111,972/x
  3. Step 3: Cross multiply
    72,322x = 111,972 × 111,972
  4. Step 4: Simplify right side
    72,322x = 12,537,728,784
  5. Step 5: Solve for x
    x = 12,537,728,784/72,322
  6. Step 6: Final answer
    x = 173,359.82

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