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Finding the Third Proportional to 114,561 and 251,536

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Solution

The third proportional to 114,561 and 251,536 is: 552,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,561 : 251,536 = 251,536 : x
  2. Step 2: Convert to fraction form
    114,561/251,536 = 251,536/x
  3. Step 3: Cross multiply
    114,561x = 251,536 × 251,536
  4. Step 4: Simplify right side
    114,561x = 63,270,359,296
  5. Step 5: Solve for x
    x = 63,270,359,296/114,561
  6. Step 6: Final answer
    x = 552,285.33

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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.