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Finding the Third Proportional to 124,893 and 184,032

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Solution

The third proportional to 124,893 and 184,032 is: 271,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,893 : 184,032 = 184,032 : x
  2. Step 2: Convert to fraction form
    124,893/184,032 = 184,032/x
  3. Step 3: Cross multiply
    124,893x = 184,032 × 184,032
  4. Step 4: Simplify right side
    124,893x = 33,867,777,024
  5. Step 5: Solve for x
    x = 33,867,777,024/124,893
  6. Step 6: Final answer
    x = 271,174.34

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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.