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Finding the Third Proportional to 172,084.50 and 253,062

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Solution

The third proportional to 172,084.50 and 253,062 is: 372,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,084.50 : 253,062 = 253,062 : x
  2. Step 2: Convert to fraction form
    172,084.50/253,062 = 253,062/x
  3. Step 3: Cross multiply
    172,084.50x = 253,062 × 253,062
  4. Step 4: Simplify right side
    172,084.50x = 64,040,375,844
  5. Step 5: Solve for x
    x = 64,040,375,844/172,084.50
  6. Step 6: Final answer
    x = 372,144.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.