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Finding the Third Proportional to 76,065.75 and 169,621.50

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Solution

The third proportional to 76,065.75 and 169,621.50 is: 378,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,065.75 : 169,621.50 = 169,621.50 : x
  2. Step 2: Convert to fraction form
    76,065.75/169,621.50 = 169,621.50/x
  3. Step 3: Cross multiply
    76,065.75x = 169,621.50 × 169,621.50
  4. Step 4: Simplify right side
    76,065.75x = 28,771,453,262.25
  5. Step 5: Solve for x
    x = 28,771,453,262.25/76,065.75
  6. Step 6: Final answer
    x = 378,244.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.