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Finding the Third Proportional to 124,790.50 and 187,124

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Solution

The third proportional to 124,790.50 and 187,124 is: 280,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,790.50 : 187,124 = 187,124 : x
  2. Step 2: Convert to fraction form
    124,790.50/187,124 = 187,124/x
  3. Step 3: Cross multiply
    124,790.50x = 187,124 × 187,124
  4. Step 4: Simplify right side
    124,790.50x = 35,015,391,376
  5. Step 5: Solve for x
    x = 35,015,391,376/124,790.50
  6. Step 6: Final answer
    x = 280,593.41

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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.