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Finding the Third Proportional to 116,824.78 and 175,042.27

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Solution

The third proportional to 116,824.78 and 175,042.27 is: 262,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,824.78 : 175,042.27 = 175,042.27 : x
  2. Step 2: Convert to fraction form
    116,824.78/175,042.27 = 175,042.27/x
  3. Step 3: Cross multiply
    116,824.78x = 175,042.27 × 175,042.27
  4. Step 4: Simplify right side
    116,824.78x = 30,639,794,755.13
  5. Step 5: Solve for x
    x = 30,639,794,755.13/116,824.78
  6. Step 6: Final answer
    x = 262,271.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.