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Finding the Third Proportional to 70,806.75 and 113,955.75

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Solution

The third proportional to 70,806.75 and 113,955.75 is: 183,399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,806.75 : 113,955.75 = 113,955.75 : x
  2. Step 2: Convert to fraction form
    70,806.75/113,955.75 = 113,955.75/x
  3. Step 3: Cross multiply
    70,806.75x = 113,955.75 × 113,955.75
  4. Step 4: Simplify right side
    70,806.75x = 12,985,912,958.06
  5. Step 5: Solve for x
    x = 12,985,912,958.06/70,806.75
  6. Step 6: Final answer
    x = 183,399.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.