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Finding the Third Proportional to 122,037 and 184,776

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Solution

The third proportional to 122,037 and 184,776 is: 279,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,037 : 184,776 = 184,776 : x
  2. Step 2: Convert to fraction form
    122,037/184,776 = 184,776/x
  3. Step 3: Cross multiply
    122,037x = 184,776 × 184,776
  4. Step 4: Simplify right side
    122,037x = 34,142,170,176
  5. Step 5: Solve for x
    x = 34,142,170,176/122,037
  6. Step 6: Final answer
    x = 279,769.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.