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Finding the Third Proportional to 125,124 and 184,368

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Solution

The third proportional to 125,124 and 184,368 is: 271,662.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,124 : 184,368 = 184,368 : x
  2. Step 2: Convert to fraction form
    125,124/184,368 = 184,368/x
  3. Step 3: Cross multiply
    125,124x = 184,368 × 184,368
  4. Step 4: Simplify right side
    125,124x = 33,991,559,424
  5. Step 5: Solve for x
    x = 33,991,559,424/125,124
  6. Step 6: Final answer
    x = 271,662.99

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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.