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Finding the Third Proportional to 70,586 and 155,165

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Solution

The third proportional to 70,586 and 155,165 is: 341,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,586 : 155,165 = 155,165 : x
  2. Step 2: Convert to fraction form
    70,586/155,165 = 155,165/x
  3. Step 3: Cross multiply
    70,586x = 155,165 × 155,165
  4. Step 4: Simplify right side
    70,586x = 24,076,177,225
  5. Step 5: Solve for x
    x = 24,076,177,225/70,586
  6. Step 6: Final answer
    x = 341,089.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.