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Finding the Third Proportional to 41,707.50 and 90,759

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Solution

The third proportional to 41,707.50 and 90,759 is: 197,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,707.50 : 90,759 = 90,759 : x
  2. Step 2: Convert to fraction form
    41,707.50/90,759 = 90,759/x
  3. Step 3: Cross multiply
    41,707.50x = 90,759 × 90,759
  4. Step 4: Simplify right side
    41,707.50x = 8,237,196,081
  5. Step 5: Solve for x
    x = 8,237,196,081/41,707.50
  6. Step 6: Final answer
    x = 197,499.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.