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Finding the Third Proportional to 130,723.88 and 184,082.63

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Solution

The third proportional to 130,723.88 and 184,082.63 is: 259,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,723.88 : 184,082.63 = 184,082.63 : x
  2. Step 2: Convert to fraction form
    130,723.88/184,082.63 = 184,082.63/x
  3. Step 3: Cross multiply
    130,723.88x = 184,082.63 × 184,082.63
  4. Step 4: Simplify right side
    130,723.88x = 33,886,412,826.89
  5. Step 5: Solve for x
    x = 33,886,412,826.89/130,723.88
  6. Step 6: Final answer
    x = 259,221.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.