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Finding the Third Proportional to 115,949 and 184,442

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Solution

The third proportional to 115,949 and 184,442 is: 293,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,949 : 184,442 = 184,442 : x
  2. Step 2: Convert to fraction form
    115,949/184,442 = 184,442/x
  3. Step 3: Cross multiply
    115,949x = 184,442 × 184,442
  4. Step 4: Simplify right side
    115,949x = 34,018,851,364
  5. Step 5: Solve for x
    x = 34,018,851,364/115,949
  6. Step 6: Final answer
    x = 293,394.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.