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Finding the Third Proportional to 76,813 and 156,675

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Solution

The third proportional to 76,813 and 156,675 is: 319,569.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,813 : 156,675 = 156,675 : x
  2. Step 2: Convert to fraction form
    76,813/156,675 = 156,675/x
  3. Step 3: Cross multiply
    76,813x = 156,675 × 156,675
  4. Step 4: Simplify right side
    76,813x = 24,547,055,625
  5. Step 5: Solve for x
    x = 24,547,055,625/76,813
  6. Step 6: Final answer
    x = 319,569.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.