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Finding the Third Proportional to 76,219.88 and 113,224.50

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Solution

The third proportional to 76,219.88 and 113,224.50 is: 168,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,219.88 : 113,224.50 = 113,224.50 : x
  2. Step 2: Convert to fraction form
    76,219.88/113,224.50 = 113,224.50/x
  3. Step 3: Cross multiply
    76,219.88x = 113,224.50 × 113,224.50
  4. Step 4: Simplify right side
    76,219.88x = 12,819,787,400.25
  5. Step 5: Solve for x
    x = 12,819,787,400.25/76,219.88
  6. Step 6: Final answer
    x = 168,194.81

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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.