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Finding the Third Proportional to 51,964 and 112,231

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Solution

The third proportional to 51,964 and 112,231 is: 242,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,964 : 112,231 = 112,231 : x
  2. Step 2: Convert to fraction form
    51,964/112,231 = 112,231/x
  3. Step 3: Cross multiply
    51,964x = 112,231 × 112,231
  4. Step 4: Simplify right side
    51,964x = 12,595,797,361
  5. Step 5: Solve for x
    x = 12,595,797,361/51,964
  6. Step 6: Final answer
    x = 242,394.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.