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Finding the Third Proportional to 116,750 and 184,899

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Solution

The third proportional to 116,750 and 184,899 is: 292,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,750 : 184,899 = 184,899 : x
  2. Step 2: Convert to fraction form
    116,750/184,899 = 184,899/x
  3. Step 3: Cross multiply
    116,750x = 184,899 × 184,899
  4. Step 4: Simplify right side
    116,750x = 34,187,640,201
  5. Step 5: Solve for x
    x = 34,187,640,201/116,750
  6. Step 6: Final answer
    x = 292,827.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.