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Finding the Third Proportional to 70,942.13 and 105,797.63

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Solution

The third proportional to 70,942.13 and 105,797.63 is: 157,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,942.13 : 105,797.63 = 105,797.63 : x
  2. Step 2: Convert to fraction form
    70,942.13/105,797.63 = 105,797.63/x
  3. Step 3: Cross multiply
    70,942.13x = 105,797.63 × 105,797.63
  4. Step 4: Simplify right side
    70,942.13x = 11,193,137,455.64
  5. Step 5: Solve for x
    x = 11,193,137,455.64/70,942.13
  6. Step 6: Final answer
    x = 157,778.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.