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Finding the Third Proportional to 117,535 and 254,753

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Solution

The third proportional to 117,535 and 254,753 is: 552,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,535 : 254,753 = 254,753 : x
  2. Step 2: Convert to fraction form
    117,535/254,753 = 254,753/x
  3. Step 3: Cross multiply
    117,535x = 254,753 × 254,753
  4. Step 4: Simplify right side
    117,535x = 64,899,091,009
  5. Step 5: Solve for x
    x = 64,899,091,009/117,535
  6. Step 6: Final answer
    x = 552,168.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.