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Finding the Third Proportional to 107,456 and 252,764

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Solution

The third proportional to 107,456 and 252,764 is: 594,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,456 : 252,764 = 252,764 : x
  2. Step 2: Convert to fraction form
    107,456/252,764 = 252,764/x
  3. Step 3: Cross multiply
    107,456x = 252,764 × 252,764
  4. Step 4: Simplify right side
    107,456x = 63,889,639,696
  5. Step 5: Solve for x
    x = 63,889,639,696/107,456
  6. Step 6: Final answer
    x = 594,565.59

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.