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Finding the Third Proportional to 122,200 and 184,082

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Solution

The third proportional to 122,200 and 184,082 is: 277,301.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,200 : 184,082 = 184,082 : x
  2. Step 2: Convert to fraction form
    122,200/184,082 = 184,082/x
  3. Step 3: Cross multiply
    122,200x = 184,082 × 184,082
  4. Step 4: Simplify right side
    122,200x = 33,886,182,724
  5. Step 5: Solve for x
    x = 33,886,182,724/122,200
  6. Step 6: Final answer
    x = 277,301.00

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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.