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Finding the Third Proportional to 76,954.50 and 115,434

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Solution

The third proportional to 76,954.50 and 115,434 is: 173,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,954.50 : 115,434 = 115,434 : x
  2. Step 2: Convert to fraction form
    76,954.50/115,434 = 115,434/x
  3. Step 3: Cross multiply
    76,954.50x = 115,434 × 115,434
  4. Step 4: Simplify right side
    76,954.50x = 13,325,008,356
  5. Step 5: Solve for x
    x = 13,325,008,356/76,954.50
  6. Step 6: Final answer
    x = 173,154.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.