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Finding the Third Proportional to 123,037 and 263,134

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Solution

The third proportional to 123,037 and 263,134 is: 562,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,037 : 263,134 = 263,134 : x
  2. Step 2: Convert to fraction form
    123,037/263,134 = 263,134/x
  3. Step 3: Cross multiply
    123,037x = 263,134 × 263,134
  4. Step 4: Simplify right side
    123,037x = 69,239,501,956
  5. Step 5: Solve for x
    x = 69,239,501,956/123,037
  6. Step 6: Final answer
    x = 562,753.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.