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Finding the Third Proportional to 75,223 and 156,750

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Solution

The third proportional to 75,223 and 156,750 is: 326,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,223 : 156,750 = 156,750 : x
  2. Step 2: Convert to fraction form
    75,223/156,750 = 156,750/x
  3. Step 3: Cross multiply
    75,223x = 156,750 × 156,750
  4. Step 4: Simplify right side
    75,223x = 24,570,562,500
  5. Step 5: Solve for x
    x = 24,570,562,500/75,223
  6. Step 6: Final answer
    x = 326,636.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.