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Finding the Third Proportional to 68,508.50 and 150,109

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Solution

The third proportional to 68,508.50 and 150,109 is: 328,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,508.50 : 150,109 = 150,109 : x
  2. Step 2: Convert to fraction form
    68,508.50/150,109 = 150,109/x
  3. Step 3: Cross multiply
    68,508.50x = 150,109 × 150,109
  4. Step 4: Simplify right side
    68,508.50x = 22,532,711,881
  5. Step 5: Solve for x
    x = 22,532,711,881/68,508.50
  6. Step 6: Final answer
    x = 328,903.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.