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Finding the Third Proportional to 76,767.75 and 112,954.50

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Solution

The third proportional to 76,767.75 and 112,954.50 is: 166,198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,767.75 : 112,954.50 = 112,954.50 : x
  2. Step 2: Convert to fraction form
    76,767.75/112,954.50 = 112,954.50/x
  3. Step 3: Cross multiply
    76,767.75x = 112,954.50 × 112,954.50
  4. Step 4: Simplify right side
    76,767.75x = 12,758,719,070.25
  5. Step 5: Solve for x
    x = 12,758,719,070.25/76,767.75
  6. Step 6: Final answer
    x = 166,198.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.