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Finding the Third Proportional to 76,813 and 119,216

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Solution

The third proportional to 76,813 and 119,216 is: 185,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,813 : 119,216 = 119,216 : x
  2. Step 2: Convert to fraction form
    76,813/119,216 = 119,216/x
  3. Step 3: Cross multiply
    76,813x = 119,216 × 119,216
  4. Step 4: Simplify right side
    76,813x = 14,212,454,656
  5. Step 5: Solve for x
    x = 14,212,454,656/76,813
  6. Step 6: Final answer
    x = 185,026.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.