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Finding the Third Proportional to 76,652 and 162,580

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Solution

The third proportional to 76,652 and 162,580 is: 344,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,652 : 162,580 = 162,580 : x
  2. Step 2: Convert to fraction form
    76,652/162,580 = 162,580/x
  3. Step 3: Cross multiply
    76,652x = 162,580 × 162,580
  4. Step 4: Simplify right side
    76,652x = 26,432,256,400
  5. Step 5: Solve for x
    x = 26,432,256,400/76,652
  6. Step 6: Final answer
    x = 344,834.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.