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Finding the Third Proportional to 51,158.25 and 104,851.13

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Solution

The third proportional to 51,158.25 and 104,851.13 is: 214,897.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,158.25 : 104,851.13 = 104,851.13 : x
  2. Step 2: Convert to fraction form
    51,158.25/104,851.13 = 104,851.13/x
  3. Step 3: Cross multiply
    51,158.25x = 104,851.13 × 104,851.13
  4. Step 4: Simplify right side
    51,158.25x = 10,993,758,413.77
  5. Step 5: Solve for x
    x = 10,993,758,413.77/51,158.25
  6. Step 6: Final answer
    x = 214,897.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.