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Finding the Third Proportional to 117,599 and 254,061

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Solution

The third proportional to 117,599 and 254,061 is: 548,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,599 : 254,061 = 254,061 : x
  2. Step 2: Convert to fraction form
    117,599/254,061 = 254,061/x
  3. Step 3: Cross multiply
    117,599x = 254,061 × 254,061
  4. Step 4: Simplify right side
    117,599x = 64,546,991,721
  5. Step 5: Solve for x
    x = 64,546,991,721/117,599
  6. Step 6: Final answer
    x = 548,873.64

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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.