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Finding the Third Proportional to 70,591.75 and 106,043.75

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Solution

The third proportional to 70,591.75 and 106,043.75 is: 159,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,591.75 : 106,043.75 = 106,043.75 : x
  2. Step 2: Convert to fraction form
    70,591.75/106,043.75 = 106,043.75/x
  3. Step 3: Cross multiply
    70,591.75x = 106,043.75 × 106,043.75
  4. Step 4: Simplify right side
    70,591.75x = 11,245,276,914.06
  5. Step 5: Solve for x
    x = 11,245,276,914.06/70,591.75
  6. Step 6: Final answer
    x = 159,300.16

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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.