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Finding the Third Proportional to 122,830 and 184,413

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Solution

The third proportional to 122,830 and 184,413 is: 276,871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,830 : 184,413 = 184,413 : x
  2. Step 2: Convert to fraction form
    122,830/184,413 = 184,413/x
  3. Step 3: Cross multiply
    122,830x = 184,413 × 184,413
  4. Step 4: Simplify right side
    122,830x = 34,008,154,569
  5. Step 5: Solve for x
    x = 34,008,154,569/122,830
  6. Step 6: Final answer
    x = 276,871.73

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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.