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Finding the Third Proportional to 47,734 and 72,856

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Solution

The third proportional to 47,734 and 72,856 is: 111,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,734 : 72,856 = 72,856 : x
  2. Step 2: Convert to fraction form
    47,734/72,856 = 72,856/x
  3. Step 3: Cross multiply
    47,734x = 72,856 × 72,856
  4. Step 4: Simplify right side
    47,734x = 5,307,996,736
  5. Step 5: Solve for x
    x = 5,307,996,736/47,734
  6. Step 6: Final answer
    x = 111,199.50

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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.