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Finding the Third Proportional to 122,851.13 and 185,141.25

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Solution

The third proportional to 122,851.13 and 185,141.25 is: 279,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,851.13 : 185,141.25 = 185,141.25 : x
  2. Step 2: Convert to fraction form
    122,851.13/185,141.25 = 185,141.25/x
  3. Step 3: Cross multiply
    122,851.13x = 185,141.25 × 185,141.25
  4. Step 4: Simplify right side
    122,851.13x = 34,277,282,451.56
  5. Step 5: Solve for x
    x = 34,277,282,451.56/122,851.13
  6. Step 6: Final answer
    x = 279,014.80

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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.