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Finding the Third Proportional to 117,530 and 253,762

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Solution

The third proportional to 117,530 and 253,762 is: 547,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,530 : 253,762 = 253,762 : x
  2. Step 2: Convert to fraction form
    117,530/253,762 = 253,762/x
  3. Step 3: Cross multiply
    117,530x = 253,762 × 253,762
  4. Step 4: Simplify right side
    117,530x = 64,395,152,644
  5. Step 5: Solve for x
    x = 64,395,152,644/117,530
  6. Step 6: Final answer
    x = 547,903.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.