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Finding the Third Proportional to 122,917 and 185,498

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Solution

The third proportional to 122,917 and 185,498 is: 279,941.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,917 : 185,498 = 185,498 : x
  2. Step 2: Convert to fraction form
    122,917/185,498 = 185,498/x
  3. Step 3: Cross multiply
    122,917x = 185,498 × 185,498
  4. Step 4: Simplify right side
    122,917x = 34,409,508,004
  5. Step 5: Solve for x
    x = 34,409,508,004/122,917
  6. Step 6: Final answer
    x = 279,941.00

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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.