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Finding the Third Proportional to 85,133 and 125,229

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Solution

The third proportional to 85,133 and 125,229 is: 184,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,133 : 125,229 = 125,229 : x
  2. Step 2: Convert to fraction form
    85,133/125,229 = 125,229/x
  3. Step 3: Cross multiply
    85,133x = 125,229 × 125,229
  4. Step 4: Simplify right side
    85,133x = 15,682,302,441
  5. Step 5: Solve for x
    x = 15,682,302,441/85,133
  6. Step 6: Final answer
    x = 184,209.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.