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Finding the Third Proportional to 76,947 and 115,112

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Solution

The third proportional to 76,947 and 115,112 is: 172,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,947 : 115,112 = 115,112 : x
  2. Step 2: Convert to fraction form
    76,947/115,112 = 115,112/x
  3. Step 3: Cross multiply
    76,947x = 115,112 × 115,112
  4. Step 4: Simplify right side
    76,947x = 13,250,772,544
  5. Step 5: Solve for x
    x = 13,250,772,544/76,947
  6. Step 6: Final answer
    x = 172,206.49

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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.