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Finding the Third Proportional to 122,202 and 184,083.75

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Solution

The third proportional to 122,202 and 184,083.75 is: 277,301.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,202 : 184,083.75 = 184,083.75 : x
  2. Step 2: Convert to fraction form
    122,202/184,083.75 = 184,083.75/x
  3. Step 3: Cross multiply
    122,202x = 184,083.75 × 184,083.75
  4. Step 4: Simplify right side
    122,202x = 33,886,827,014.06
  5. Step 5: Solve for x
    x = 33,886,827,014.06/122,202
  6. Step 6: Final answer
    x = 277,301.74

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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.