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Finding the Third Proportional to 122,492 and 183,738

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Solution

The third proportional to 122,492 and 183,738 is: 275,607

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,492 : 183,738 = 183,738 : x
  2. Step 2: Convert to fraction form
    122,492/183,738 = 183,738/x
  3. Step 3: Cross multiply
    122,492x = 183,738 × 183,738
  4. Step 4: Simplify right side
    122,492x = 33,759,652,644
  5. Step 5: Solve for x
    x = 33,759,652,644/122,492
  6. Step 6: Final answer
    x = 275,607

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.