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Finding the Third Proportional to 125,144 and 184,395

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Solution

The third proportional to 125,144 and 184,395 is: 271,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,144 : 184,395 = 184,395 : x
  2. Step 2: Convert to fraction form
    125,144/184,395 = 184,395/x
  3. Step 3: Cross multiply
    125,144x = 184,395 × 184,395
  4. Step 4: Simplify right side
    125,144x = 34,001,516,025
  5. Step 5: Solve for x
    x = 34,001,516,025/125,144
  6. Step 6: Final answer
    x = 271,699.13

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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.