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Finding the Third Proportional to 144,044 and 193,916

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Solution

The third proportional to 144,044 and 193,916 is: 261,055.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,044 : 193,916 = 193,916 : x
  2. Step 2: Convert to fraction form
    144,044/193,916 = 193,916/x
  3. Step 3: Cross multiply
    144,044x = 193,916 × 193,916
  4. Step 4: Simplify right side
    144,044x = 37,603,415,056
  5. Step 5: Solve for x
    x = 37,603,415,056/144,044
  6. Step 6: Final answer
    x = 261,055.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.