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Finding the Third Proportional to 117,554 and 252,786

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Solution

The third proportional to 117,554 and 252,786 is: 543,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,554 : 252,786 = 252,786 : x
  2. Step 2: Convert to fraction form
    117,554/252,786 = 252,786/x
  3. Step 3: Cross multiply
    117,554x = 252,786 × 252,786
  4. Step 4: Simplify right side
    117,554x = 63,900,761,796
  5. Step 5: Solve for x
    x = 63,900,761,796/117,554
  6. Step 6: Final answer
    x = 543,586.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.