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Finding the Third Proportional to 70,446 and 105,675

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Solution

The third proportional to 70,446 and 105,675 is: 158,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,446 : 105,675 = 105,675 : x
  2. Step 2: Convert to fraction form
    70,446/105,675 = 105,675/x
  3. Step 3: Cross multiply
    70,446x = 105,675 × 105,675
  4. Step 4: Simplify right side
    70,446x = 11,167,205,625
  5. Step 5: Solve for x
    x = 11,167,205,625/70,446
  6. Step 6: Final answer
    x = 158,521.50

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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.