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Finding the Third Proportional to 118,029.66 and 187,706.11

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Solution

The third proportional to 118,029.66 and 187,706.11 is: 298,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,029.66 : 187,706.11 = 187,706.11 : x
  2. Step 2: Convert to fraction form
    118,029.66/187,706.11 = 187,706.11/x
  3. Step 3: Cross multiply
    118,029.66x = 187,706.11 × 187,706.11
  4. Step 4: Simplify right side
    118,029.66x = 35,233,583,496.70
  5. Step 5: Solve for x
    x = 35,233,583,496.70/118,029.66
  6. Step 6: Final answer
    x = 298,514.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.