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Finding the Third Proportional to 109,102 and 173,499

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Solution

The third proportional to 109,102 and 173,499 is: 275,906.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,102 : 173,499 = 173,499 : x
  2. Step 2: Convert to fraction form
    109,102/173,499 = 173,499/x
  3. Step 3: Cross multiply
    109,102x = 173,499 × 173,499
  4. Step 4: Simplify right side
    109,102x = 30,101,903,001
  5. Step 5: Solve for x
    x = 30,101,903,001/109,102
  6. Step 6: Final answer
    x = 275,906.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.