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Finding the Third Proportional to 128,033 and 184,435

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Solution

The third proportional to 128,033 and 184,435 is: 265,683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,033 : 184,435 = 184,435 : x
  2. Step 2: Convert to fraction form
    128,033/184,435 = 184,435/x
  3. Step 3: Cross multiply
    128,033x = 184,435 × 184,435
  4. Step 4: Simplify right side
    128,033x = 34,016,269,225
  5. Step 5: Solve for x
    x = 34,016,269,225/128,033
  6. Step 6: Final answer
    x = 265,683.61

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Why These Related Problems?

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