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Finding the Third Proportional to 128,047.50 and 184,458.38

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Solution

The third proportional to 128,047.50 and 184,458.38 is: 265,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,047.50 : 184,458.38 = 184,458.38 : x
  2. Step 2: Convert to fraction form
    128,047.50/184,458.38 = 184,458.38/x
  3. Step 3: Cross multiply
    128,047.50x = 184,458.38 × 184,458.38
  4. Step 4: Simplify right side
    128,047.50x = 34,024,892,107.64
  5. Step 5: Solve for x
    x = 34,024,892,107.64/128,047.50
  6. Step 6: Final answer
    x = 265,720.86

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.