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Finding the Third Proportional to 109,538 and 176,355

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Solution

The third proportional to 109,538 and 176,355 is: 283,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,538 : 176,355 = 176,355 : x
  2. Step 2: Convert to fraction form
    109,538/176,355 = 176,355/x
  3. Step 3: Cross multiply
    109,538x = 176,355 × 176,355
  4. Step 4: Simplify right side
    109,538x = 31,101,086,025
  5. Step 5: Solve for x
    x = 31,101,086,025/109,538
  6. Step 6: Final answer
    x = 283,929.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.