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Finding the Third Proportional to 105,042.50 and 224,851

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Solution

The third proportional to 105,042.50 and 224,851 is: 481,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,042.50 : 224,851 = 224,851 : x
  2. Step 2: Convert to fraction form
    105,042.50/224,851 = 224,851/x
  3. Step 3: Cross multiply
    105,042.50x = 224,851 × 224,851
  4. Step 4: Simplify right side
    105,042.50x = 50,557,972,201
  5. Step 5: Solve for x
    x = 50,557,972,201/105,042.50
  6. Step 6: Final answer
    x = 481,309.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.