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Finding the Third Proportional to 90,804 and 150,068

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Solution

The third proportional to 90,804 and 150,068 is: 248,011.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,804 : 150,068 = 150,068 : x
  2. Step 2: Convert to fraction form
    90,804/150,068 = 150,068/x
  3. Step 3: Cross multiply
    90,804x = 150,068 × 150,068
  4. Step 4: Simplify right side
    90,804x = 22,520,404,624
  5. Step 5: Solve for x
    x = 22,520,404,624/90,804
  6. Step 6: Final answer
    x = 248,011.15

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.