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Finding the Third Proportional to 76,794.75 and 117,639

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Solution

The third proportional to 76,794.75 and 117,639 is: 180,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,794.75 : 117,639 = 117,639 : x
  2. Step 2: Convert to fraction form
    76,794.75/117,639 = 117,639/x
  3. Step 3: Cross multiply
    76,794.75x = 117,639 × 117,639
  4. Step 4: Simplify right side
    76,794.75x = 13,838,934,321
  5. Step 5: Solve for x
    x = 13,838,934,321/76,794.75
  6. Step 6: Final answer
    x = 180,206.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.