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Finding the Third Proportional to 78,282 and 184,761

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Solution

The third proportional to 78,282 and 184,761 is: 436,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,282 : 184,761 = 184,761 : x
  2. Step 2: Convert to fraction form
    78,282/184,761 = 184,761/x
  3. Step 3: Cross multiply
    78,282x = 184,761 × 184,761
  4. Step 4: Simplify right side
    78,282x = 34,136,627,121
  5. Step 5: Solve for x
    x = 34,136,627,121/78,282
  6. Step 6: Final answer
    x = 436,072.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.