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Finding the Third Proportional to 125,114 and 184,361

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Solution

The third proportional to 125,114 and 184,361 is: 271,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,114 : 184,361 = 184,361 : x
  2. Step 2: Convert to fraction form
    125,114/184,361 = 184,361/x
  3. Step 3: Cross multiply
    125,114x = 184,361 × 184,361
  4. Step 4: Simplify right side
    125,114x = 33,988,978,321
  5. Step 5: Solve for x
    x = 33,988,978,321/125,114
  6. Step 6: Final answer
    x = 271,664.07

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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.