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Finding the Third Proportional to 76,284 and 159,543

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Solution

The third proportional to 76,284 and 159,543 is: 333,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,284 : 159,543 = 159,543 : x
  2. Step 2: Convert to fraction form
    76,284/159,543 = 159,543/x
  3. Step 3: Cross multiply
    76,284x = 159,543 × 159,543
  4. Step 4: Simplify right side
    76,284x = 25,453,968,849
  5. Step 5: Solve for x
    x = 25,453,968,849/76,284
  6. Step 6: Final answer
    x = 333,673.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.