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Finding the Third Proportional to 76,483 and 164,037.25

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Solution

The third proportional to 76,483 and 164,037.25 is: 351,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,483 : 164,037.25 = 164,037.25 : x
  2. Step 2: Convert to fraction form
    76,483/164,037.25 = 164,037.25/x
  3. Step 3: Cross multiply
    76,483x = 164,037.25 × 164,037.25
  4. Step 4: Simplify right side
    76,483x = 26,908,219,387.56
  5. Step 5: Solve for x
    x = 26,908,219,387.56/76,483
  6. Step 6: Final answer
    x = 351,819.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.