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Finding the Third Proportional to 119,767.50 and 187,879

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Solution

The third proportional to 119,767.50 and 187,879 is: 294,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,767.50 : 187,879 = 187,879 : x
  2. Step 2: Convert to fraction form
    119,767.50/187,879 = 187,879/x
  3. Step 3: Cross multiply
    119,767.50x = 187,879 × 187,879
  4. Step 4: Simplify right side
    119,767.50x = 35,298,518,641
  5. Step 5: Solve for x
    x = 35,298,518,641/119,767.50
  6. Step 6: Final answer
    x = 294,725.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.