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Finding the Third Proportional to 119,394 and 184,761

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Solution

The third proportional to 119,394 and 184,761 is: 285,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,394 : 184,761 = 184,761 : x
  2. Step 2: Convert to fraction form
    119,394/184,761 = 184,761/x
  3. Step 3: Cross multiply
    119,394x = 184,761 × 184,761
  4. Step 4: Simplify right side
    119,394x = 34,136,627,121
  5. Step 5: Solve for x
    x = 34,136,627,121/119,394
  6. Step 6: Final answer
    x = 285,915.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.