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Finding the Third Proportional to 123,018.25 and 183,886.75

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Solution

The third proportional to 123,018.25 and 183,886.75 is: 274,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,018.25 : 183,886.75 = 183,886.75 : x
  2. Step 2: Convert to fraction form
    123,018.25/183,886.75 = 183,886.75/x
  3. Step 3: Cross multiply
    123,018.25x = 183,886.75 × 183,886.75
  4. Step 4: Simplify right side
    123,018.25x = 33,814,336,825.56
  5. Step 5: Solve for x
    x = 33,814,336,825.56/123,018.25
  6. Step 6: Final answer
    x = 274,872.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.