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Finding the Third Proportional to 47,238 and 76,113

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Solution

The third proportional to 47,238 and 76,113 is: 122,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,238 : 76,113 = 76,113 : x
  2. Step 2: Convert to fraction form
    47,238/76,113 = 76,113/x
  3. Step 3: Cross multiply
    47,238x = 76,113 × 76,113
  4. Step 4: Simplify right side
    47,238x = 5,793,188,769
  5. Step 5: Solve for x
    x = 5,793,188,769/47,238
  6. Step 6: Final answer
    x = 122,638.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.