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Finding the Third Proportional to 82,462.50 and 123,477

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Solution

The third proportional to 82,462.50 and 123,477 is: 184,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,462.50 : 123,477 = 123,477 : x
  2. Step 2: Convert to fraction form
    82,462.50/123,477 = 123,477/x
  3. Step 3: Cross multiply
    82,462.50x = 123,477 × 123,477
  4. Step 4: Simplify right side
    82,462.50x = 15,246,569,529
  5. Step 5: Solve for x
    x = 15,246,569,529/82,462.50
  6. Step 6: Final answer
    x = 184,890.94

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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.