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Finding the Third Proportional to 123,147 and 187,960.50

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Solution

The third proportional to 123,147 and 187,960.50 is: 286,885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,147 : 187,960.50 = 187,960.50 : x
  2. Step 2: Convert to fraction form
    123,147/187,960.50 = 187,960.50/x
  3. Step 3: Cross multiply
    123,147x = 187,960.50 × 187,960.50
  4. Step 4: Simplify right side
    123,147x = 35,329,149,560.25
  5. Step 5: Solve for x
    x = 35,329,149,560.25/123,147
  6. Step 6: Final answer
    x = 286,885.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.