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Finding the Third Proportional to 122,802 and 184,659

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Solution

The third proportional to 122,802 and 184,659 is: 277,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,802 : 184,659 = 184,659 : x
  2. Step 2: Convert to fraction form
    122,802/184,659 = 184,659/x
  3. Step 3: Cross multiply
    122,802x = 184,659 × 184,659
  4. Step 4: Simplify right side
    122,802x = 34,098,946,281
  5. Step 5: Solve for x
    x = 34,098,946,281/122,802
  6. Step 6: Final answer
    x = 277,674.19

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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.