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Finding the Third Proportional to 106,436.50 and 177,387

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Solution

The third proportional to 106,436.50 and 177,387 is: 295,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,436.50 : 177,387 = 177,387 : x
  2. Step 2: Convert to fraction form
    106,436.50/177,387 = 177,387/x
  3. Step 3: Cross multiply
    106,436.50x = 177,387 × 177,387
  4. Step 4: Simplify right side
    106,436.50x = 31,466,147,769
  5. Step 5: Solve for x
    x = 31,466,147,769/106,436.50
  6. Step 6: Final answer
    x = 295,633.06

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.