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Finding the Third Proportional to 61,812 and 132,948

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Solution

The third proportional to 61,812 and 132,948 is: 285,950.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,812 : 132,948 = 132,948 : x
  2. Step 2: Convert to fraction form
    61,812/132,948 = 132,948/x
  3. Step 3: Cross multiply
    61,812x = 132,948 × 132,948
  4. Step 4: Simplify right side
    61,812x = 17,675,170,704
  5. Step 5: Solve for x
    x = 17,675,170,704/61,812
  6. Step 6: Final answer
    x = 285,950.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.