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Finding the Third Proportional to 118,906 and 184,699

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Solution

The third proportional to 118,906 and 184,699 is: 286,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,906 : 184,699 = 184,699 : x
  2. Step 2: Convert to fraction form
    118,906/184,699 = 184,699/x
  3. Step 3: Cross multiply
    118,906x = 184,699 × 184,699
  4. Step 4: Simplify right side
    118,906x = 34,113,720,601
  5. Step 5: Solve for x
    x = 34,113,720,601/118,906
  6. Step 6: Final answer
    x = 286,896.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.