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Finding the Third Proportional to 124,904 and 184,047

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Solution

The third proportional to 124,904 and 184,047 is: 271,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,904 : 184,047 = 184,047 : x
  2. Step 2: Convert to fraction form
    124,904/184,047 = 184,047/x
  3. Step 3: Cross multiply
    124,904x = 184,047 × 184,047
  4. Step 4: Simplify right side
    124,904x = 33,873,298,209
  5. Step 5: Solve for x
    x = 33,873,298,209/124,904
  6. Step 6: Final answer
    x = 271,194.66

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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.