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Finding the Third Proportional to 64,017 and 101,790

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Solution

The third proportional to 64,017 and 101,790 is: 161,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,017 : 101,790 = 101,790 : x
  2. Step 2: Convert to fraction form
    64,017/101,790 = 101,790/x
  3. Step 3: Cross multiply
    64,017x = 101,790 × 101,790
  4. Step 4: Simplify right side
    64,017x = 10,361,204,100
  5. Step 5: Solve for x
    x = 10,361,204,100/64,017
  6. Step 6: Final answer
    x = 161,850.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.