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Finding the Third Proportional to 115,939 and 184,429

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Solution

The third proportional to 115,939 and 184,429 is: 293,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,939 : 184,429 = 184,429 : x
  2. Step 2: Convert to fraction form
    115,939/184,429 = 184,429/x
  3. Step 3: Cross multiply
    115,939x = 184,429 × 184,429
  4. Step 4: Simplify right side
    115,939x = 34,014,056,041
  5. Step 5: Solve for x
    x = 34,014,056,041/115,939
  6. Step 6: Final answer
    x = 293,378.90

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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.