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Finding the Third Proportional to 70,654 and 106,701

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Solution

The third proportional to 70,654 and 106,701 is: 161,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,654 : 106,701 = 106,701 : x
  2. Step 2: Convert to fraction form
    70,654/106,701 = 106,701/x
  3. Step 3: Cross multiply
    70,654x = 106,701 × 106,701
  4. Step 4: Simplify right side
    70,654x = 11,385,103,401
  5. Step 5: Solve for x
    x = 11,385,103,401/70,654
  6. Step 6: Final answer
    x = 161,138.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.