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Finding the Third Proportional to 83,925.75 and 171,729.38

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Solution

The third proportional to 83,925.75 and 171,729.38 is: 351,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,925.75 : 171,729.38 = 171,729.38 : x
  2. Step 2: Convert to fraction form
    83,925.75/171,729.38 = 171,729.38/x
  3. Step 3: Cross multiply
    83,925.75x = 171,729.38 × 171,729.38
  4. Step 4: Simplify right side
    83,925.75x = 29,490,978,237.89
  5. Step 5: Solve for x
    x = 29,490,978,237.89/83,925.75
  6. Step 6: Final answer
    x = 351,393.68

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.