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Finding the Third Proportional to 122,960 and 184,440

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Solution

The third proportional to 122,960 and 184,440 is: 276,660

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,960 : 184,440 = 184,440 : x
  2. Step 2: Convert to fraction form
    122,960/184,440 = 184,440/x
  3. Step 3: Cross multiply
    122,960x = 184,440 × 184,440
  4. Step 4: Simplify right side
    122,960x = 34,018,113,600
  5. Step 5: Solve for x
    x = 34,018,113,600/122,960
  6. Step 6: Final answer
    x = 276,660

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.