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Finding the Third Proportional to 150,138 and 176,608.13

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Solution

The third proportional to 150,138 and 176,608.13 is: 207,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,138 : 176,608.13 = 176,608.13 : x
  2. Step 2: Convert to fraction form
    150,138/176,608.13 = 176,608.13/x
  3. Step 3: Cross multiply
    150,138x = 176,608.13 × 176,608.13
  4. Step 4: Simplify right side
    150,138x = 31,190,429,816.02
  5. Step 5: Solve for x
    x = 31,190,429,816.02/150,138
  6. Step 6: Final answer
    x = 207,745.07

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.