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Finding the Third Proportional to 102,823.17 and 158,912.03

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Solution

The third proportional to 102,823.17 and 158,912.03 is: 245,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,823.17 : 158,912.03 = 158,912.03 : x
  2. Step 2: Convert to fraction form
    102,823.17/158,912.03 = 158,912.03/x
  3. Step 3: Cross multiply
    102,823.17x = 158,912.03 × 158,912.03
  4. Step 4: Simplify right side
    102,823.17x = 25,253,034,296.75
  5. Step 5: Solve for x
    x = 25,253,034,296.75/102,823.17
  6. Step 6: Final answer
    x = 245,596.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.