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Finding the Third Proportional to 90,924 and 122,307

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Solution

The third proportional to 90,924 and 122,307 is: 164,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,924 : 122,307 = 122,307 : x
  2. Step 2: Convert to fraction form
    90,924/122,307 = 122,307/x
  3. Step 3: Cross multiply
    90,924x = 122,307 × 122,307
  4. Step 4: Simplify right side
    90,924x = 14,959,002,249
  5. Step 5: Solve for x
    x = 14,959,002,249/90,924
  6. Step 6: Final answer
    x = 164,522.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.