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Finding the Third Proportional to 76,099.50 and 113,690.25

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Solution

The third proportional to 76,099.50 and 113,690.25 is: 169,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,099.50 : 113,690.25 = 113,690.25 : x
  2. Step 2: Convert to fraction form
    76,099.50/113,690.25 = 113,690.25/x
  3. Step 3: Cross multiply
    76,099.50x = 113,690.25 × 113,690.25
  4. Step 4: Simplify right side
    76,099.50x = 12,925,472,945.06
  5. Step 5: Solve for x
    x = 12,925,472,945.06/76,099.50
  6. Step 6: Final answer
    x = 169,849.64

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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.