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Finding the Third Proportional to 118,011.52 and 177,997.08

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Solution

The third proportional to 118,011.52 and 177,997.08 is: 268,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,011.52 : 177,997.08 = 177,997.08 : x
  2. Step 2: Convert to fraction form
    118,011.52/177,997.08 = 177,997.08/x
  3. Step 3: Cross multiply
    118,011.52x = 177,997.08 × 177,997.08
  4. Step 4: Simplify right side
    118,011.52x = 31,682,959,821.04
  5. Step 5: Solve for x
    x = 31,682,959,821.04/118,011.52
  6. Step 6: Final answer
    x = 268,473.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.