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Finding the Third Proportional to 104,746 and 156,701

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Solution

The third proportional to 104,746 and 156,701 is: 234,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,746 : 156,701 = 156,701 : x
  2. Step 2: Convert to fraction form
    104,746/156,701 = 156,701/x
  3. Step 3: Cross multiply
    104,746x = 156,701 × 156,701
  4. Step 4: Simplify right side
    104,746x = 24,555,203,401
  5. Step 5: Solve for x
    x = 24,555,203,401/104,746
  6. Step 6: Final answer
    x = 234,426.17

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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.