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Finding the Third Proportional to 32,186 and 68,523

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Solution

The third proportional to 32,186 and 68,523 is: 145,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186 : 68,523 = 68,523 : x
  2. Step 2: Convert to fraction form
    32,186/68,523 = 68,523/x
  3. Step 3: Cross multiply
    32,186x = 68,523 × 68,523
  4. Step 4: Simplify right side
    32,186x = 4,695,401,529
  5. Step 5: Solve for x
    x = 4,695,401,529/32,186
  6. Step 6: Final answer
    x = 145,883.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.