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Finding the Third Proportional to 118,022.25 and 187,169.63

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Solution

The third proportional to 118,022.25 and 187,169.63 is: 296,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,022.25 : 187,169.63 = 187,169.63 : x
  2. Step 2: Convert to fraction form
    118,022.25/187,169.63 = 187,169.63/x
  3. Step 3: Cross multiply
    118,022.25x = 187,169.63 × 187,169.63
  4. Step 4: Simplify right side
    118,022.25x = 35,032,468,522.64
  5. Step 5: Solve for x
    x = 35,032,468,522.64/118,022.25
  6. Step 6: Final answer
    x = 296,829.36

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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.