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Finding the Third Proportional to 43,193.25 and 70,530.75

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Solution

The third proportional to 43,193.25 and 70,530.75 is: 115,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,193.25 : 70,530.75 = 70,530.75 : x
  2. Step 2: Convert to fraction form
    43,193.25/70,530.75 = 70,530.75/x
  3. Step 3: Cross multiply
    43,193.25x = 70,530.75 × 70,530.75
  4. Step 4: Simplify right side
    43,193.25x = 4,974,586,695.56
  5. Step 5: Solve for x
    x = 4,974,586,695.56/43,193.25
  6. Step 6: Final answer
    x = 115,170.47

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.