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Finding the Third Proportional to 75,236 and 116,872

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Solution

The third proportional to 75,236 and 116,872 is: 181,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,236 : 116,872 = 116,872 : x
  2. Step 2: Convert to fraction form
    75,236/116,872 = 116,872/x
  3. Step 3: Cross multiply
    75,236x = 116,872 × 116,872
  4. Step 4: Simplify right side
    75,236x = 13,659,064,384
  5. Step 5: Solve for x
    x = 13,659,064,384/75,236
  6. Step 6: Final answer
    x = 181,549.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.