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Finding the Third Proportional to 102,024.50 and 158,364.75

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Solution

The third proportional to 102,024.50 and 158,364.75 is: 245,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,024.50 : 158,364.75 = 158,364.75 : x
  2. Step 2: Convert to fraction form
    102,024.50/158,364.75 = 158,364.75/x
  3. Step 3: Cross multiply
    102,024.50x = 158,364.75 × 158,364.75
  4. Step 4: Simplify right side
    102,024.50x = 25,079,394,042.56
  5. Step 5: Solve for x
    x = 25,079,394,042.56/102,024.50
  6. Step 6: Final answer
    x = 245,817.37

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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.