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Finding the Third Proportional to 70,017 and 104,781

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Solution

The third proportional to 70,017 and 104,781 is: 156,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,017 : 104,781 = 104,781 : x
  2. Step 2: Convert to fraction form
    70,017/104,781 = 104,781/x
  3. Step 3: Cross multiply
    70,017x = 104,781 × 104,781
  4. Step 4: Simplify right side
    70,017x = 10,979,057,961
  5. Step 5: Solve for x
    x = 10,979,057,961/70,017
  6. Step 6: Final answer
    x = 156,805.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.