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Finding the Third Proportional to 124,121.25 and 186,141.38

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Solution

The third proportional to 124,121.25 and 186,141.38 is: 279,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,121.25 : 186,141.38 = 186,141.38 : x
  2. Step 2: Convert to fraction form
    124,121.25/186,141.38 = 186,141.38/x
  3. Step 3: Cross multiply
    124,121.25x = 186,141.38 × 186,141.38
  4. Step 4: Simplify right side
    124,121.25x = 34,648,611,486.89
  5. Step 5: Solve for x
    x = 34,648,611,486.89/124,121.25
  6. Step 6: Final answer
    x = 279,151.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.