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Finding the Third Proportional to 76,063.50 and 169,617

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Solution

The third proportional to 76,063.50 and 169,617 is: 378,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,063.50 : 169,617 = 169,617 : x
  2. Step 2: Convert to fraction form
    76,063.50/169,617 = 169,617/x
  3. Step 3: Cross multiply
    76,063.50x = 169,617 × 169,617
  4. Step 4: Simplify right side
    76,063.50x = 28,769,926,689
  5. Step 5: Solve for x
    x = 28,769,926,689/76,063.50
  6. Step 6: Final answer
    x = 378,235.64

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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.