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Finding the Third Proportional to 124,904 and 184,044

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Solution

The third proportional to 124,904 and 184,044 is: 271,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,904 : 184,044 = 184,044 : x
  2. Step 2: Convert to fraction form
    124,904/184,044 = 184,044/x
  3. Step 3: Cross multiply
    124,904x = 184,044 × 184,044
  4. Step 4: Simplify right side
    124,904x = 33,872,193,936
  5. Step 5: Solve for x
    x = 33,872,193,936/124,904
  6. Step 6: Final answer
    x = 271,185.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.