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Finding the Third Proportional to 64,568 and 100,020

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Solution

The third proportional to 64,568 and 100,020 is: 154,937.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,568 : 100,020 = 100,020 : x
  2. Step 2: Convert to fraction form
    64,568/100,020 = 100,020/x
  3. Step 3: Cross multiply
    64,568x = 100,020 × 100,020
  4. Step 4: Simplify right side
    64,568x = 10,004,000,400
  5. Step 5: Solve for x
    x = 10,004,000,400/64,568
  6. Step 6: Final answer
    x = 154,937.44

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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.