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Finding the Third Proportional to 83,538 and 176,391

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Solution

The third proportional to 83,538 and 176,391 is: 372,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,538 : 176,391 = 176,391 : x
  2. Step 2: Convert to fraction form
    83,538/176,391 = 176,391/x
  3. Step 3: Cross multiply
    83,538x = 176,391 × 176,391
  4. Step 4: Simplify right side
    83,538x = 31,113,784,881
  5. Step 5: Solve for x
    x = 31,113,784,881/83,538
  6. Step 6: Final answer
    x = 372,450.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.