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Finding the Third Proportional to 111,044.25 and 171,757.13

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Solution

The third proportional to 111,044.25 and 171,757.13 is: 265,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,044.25 : 171,757.13 = 171,757.13 : x
  2. Step 2: Convert to fraction form
    111,044.25/171,757.13 = 171,757.13/x
  3. Step 3: Cross multiply
    111,044.25x = 171,757.13 × 171,757.13
  4. Step 4: Simplify right side
    111,044.25x = 29,500,509,988.27
  5. Step 5: Solve for x
    x = 29,500,509,988.27/111,044.25
  6. Step 6: Final answer
    x = 265,664.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.