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Finding the Third Proportional to 51,448.50 and 123,927

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Solution

The third proportional to 51,448.50 and 123,927 is: 298,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,448.50 : 123,927 = 123,927 : x
  2. Step 2: Convert to fraction form
    51,448.50/123,927 = 123,927/x
  3. Step 3: Cross multiply
    51,448.50x = 123,927 × 123,927
  4. Step 4: Simplify right side
    51,448.50x = 15,357,901,329
  5. Step 5: Solve for x
    x = 15,357,901,329/51,448.50
  6. Step 6: Final answer
    x = 298,510.19

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.