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Finding the Third Proportional to 122,936 and 185,534

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Solution

The third proportional to 122,936 and 185,534 is: 280,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,936 : 185,534 = 185,534 : x
  2. Step 2: Convert to fraction form
    122,936/185,534 = 185,534/x
  3. Step 3: Cross multiply
    122,936x = 185,534 × 185,534
  4. Step 4: Simplify right side
    122,936x = 34,422,865,156
  5. Step 5: Solve for x
    x = 34,422,865,156/122,936
  6. Step 6: Final answer
    x = 280,006.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.