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Finding the Third Proportional to 114,120 and 251,567

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Solution

The third proportional to 114,120 and 251,567 is: 554,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,120 : 251,567 = 251,567 : x
  2. Step 2: Convert to fraction form
    114,120/251,567 = 251,567/x
  3. Step 3: Cross multiply
    114,120x = 251,567 × 251,567
  4. Step 4: Simplify right side
    114,120x = 63,285,955,489
  5. Step 5: Solve for x
    x = 63,285,955,489/114,120
  6. Step 6: Final answer
    x = 554,556.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.