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Finding the Third Proportional to 122,851.50 and 185,143.13

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Solution

The third proportional to 122,851.50 and 185,143.13 is: 279,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,851.50 : 185,143.13 = 185,143.13 : x
  2. Step 2: Convert to fraction form
    122,851.50/185,143.13 = 185,143.13/x
  3. Step 3: Cross multiply
    122,851.50x = 185,143.13 × 185,143.13
  4. Step 4: Simplify right side
    122,851.50x = 34,277,976,734.77
  5. Step 5: Solve for x
    x = 34,277,976,734.77/122,851.50
  6. Step 6: Final answer
    x = 279,019.60

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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.