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Finding the Third Proportional to 117,073 and 251,714

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Solution

The third proportional to 117,073 and 251,714 is: 541,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,073 : 251,714 = 251,714 : x
  2. Step 2: Convert to fraction form
    117,073/251,714 = 251,714/x
  3. Step 3: Cross multiply
    117,073x = 251,714 × 251,714
  4. Step 4: Simplify right side
    117,073x = 63,359,937,796
  5. Step 5: Solve for x
    x = 63,359,937,796/117,073
  6. Step 6: Final answer
    x = 541,200.26

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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.