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Finding the Third Proportional to 118,732 and 188,002

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Solution

The third proportional to 118,732 and 188,002 is: 297,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,732 : 188,002 = 188,002 : x
  2. Step 2: Convert to fraction form
    118,732/188,002 = 188,002/x
  3. Step 3: Cross multiply
    118,732x = 188,002 × 188,002
  4. Step 4: Simplify right side
    118,732x = 35,344,752,004
  5. Step 5: Solve for x
    x = 35,344,752,004/118,732
  6. Step 6: Final answer
    x = 297,685.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.