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Finding the Third Proportional to 70,866 and 106,619.63

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Solution

The third proportional to 70,866 and 106,619.63 is: 160,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,866 : 106,619.63 = 106,619.63 : x
  2. Step 2: Convert to fraction form
    70,866/106,619.63 = 106,619.63/x
  3. Step 3: Cross multiply
    70,866x = 106,619.63 × 106,619.63
  4. Step 4: Simplify right side
    70,866x = 11,367,744,435.14
  5. Step 5: Solve for x
    x = 11,367,744,435.14/70,866
  6. Step 6: Final answer
    x = 160,411.83

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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.