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Finding the Third Proportional to 64,806.75 and 100,581.75

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Solution

The third proportional to 64,806.75 and 100,581.75 is: 156,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,806.75 : 100,581.75 = 100,581.75 : x
  2. Step 2: Convert to fraction form
    64,806.75/100,581.75 = 100,581.75/x
  3. Step 3: Cross multiply
    64,806.75x = 100,581.75 × 100,581.75
  4. Step 4: Simplify right side
    64,806.75x = 10,116,688,433.06
  5. Step 5: Solve for x
    x = 10,116,688,433.06/64,806.75
  6. Step 6: Final answer
    x = 156,105.47

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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.