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Finding the Third Proportional to 47,236 and 72,342

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Solution

The third proportional to 47,236 and 72,342 is: 110,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,236 : 72,342 = 72,342 : x
  2. Step 2: Convert to fraction form
    47,236/72,342 = 72,342/x
  3. Step 3: Cross multiply
    47,236x = 72,342 × 72,342
  4. Step 4: Simplify right side
    47,236x = 5,233,364,964
  5. Step 5: Solve for x
    x = 5,233,364,964/47,236
  6. Step 6: Final answer
    x = 110,791.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.