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Finding the Third Proportional to 128,049 and 184,460.25

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Solution

The third proportional to 128,049 and 184,460.25 is: 265,723.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,049 : 184,460.25 = 184,460.25 : x
  2. Step 2: Convert to fraction form
    128,049/184,460.25 = 184,460.25/x
  3. Step 3: Cross multiply
    128,049x = 184,460.25 × 184,460.25
  4. Step 4: Simplify right side
    128,049x = 34,025,583,830.06
  5. Step 5: Solve for x
    x = 34,025,583,830.06/128,049
  6. Step 6: Final answer
    x = 265,723.15

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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.