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Finding the Third Proportional to 52,231 and 78,462

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Solution

The third proportional to 52,231 and 78,462 is: 117,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,231 : 78,462 = 78,462 : x
  2. Step 2: Convert to fraction form
    52,231/78,462 = 78,462/x
  3. Step 3: Cross multiply
    52,231x = 78,462 × 78,462
  4. Step 4: Simplify right side
    52,231x = 6,156,285,444
  5. Step 5: Solve for x
    x = 6,156,285,444/52,231
  6. Step 6: Final answer
    x = 117,866.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.