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Finding the Third Proportional to 103,622 and 131,445

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Solution

The third proportional to 103,622 and 131,445 is: 166,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,622 : 131,445 = 131,445 : x
  2. Step 2: Convert to fraction form
    103,622/131,445 = 131,445/x
  3. Step 3: Cross multiply
    103,622x = 131,445 × 131,445
  4. Step 4: Simplify right side
    103,622x = 17,277,788,025
  5. Step 5: Solve for x
    x = 17,277,788,025/103,622
  6. Step 6: Final answer
    x = 166,738.61

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.