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Finding the Third Proportional to 110,356 and 171,187

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Solution

The third proportional to 110,356 and 171,187 is: 265,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,356 : 171,187 = 171,187 : x
  2. Step 2: Convert to fraction form
    110,356/171,187 = 171,187/x
  3. Step 3: Cross multiply
    110,356x = 171,187 × 171,187
  4. Step 4: Simplify right side
    110,356x = 29,304,988,969
  5. Step 5: Solve for x
    x = 29,304,988,969/110,356
  6. Step 6: Final answer
    x = 265,549.58

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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.