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Finding the Third Proportional to 124,786.50 and 187,119

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Solution

The third proportional to 124,786.50 and 187,119 is: 280,587.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,786.50 : 187,119 = 187,119 : x
  2. Step 2: Convert to fraction form
    124,786.50/187,119 = 187,119/x
  3. Step 3: Cross multiply
    124,786.50x = 187,119 × 187,119
  4. Step 4: Simplify right side
    124,786.50x = 35,013,520,161
  5. Step 5: Solve for x
    x = 35,013,520,161/124,786.50
  6. Step 6: Final answer
    x = 280,587.40

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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.