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Finding the Third Proportional to 85,142 and 125,240

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Solution

The third proportional to 85,142 and 125,240 is: 184,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,142 : 125,240 = 125,240 : x
  2. Step 2: Convert to fraction form
    85,142/125,240 = 125,240/x
  3. Step 3: Cross multiply
    85,142x = 125,240 × 125,240
  4. Step 4: Simplify right side
    85,142x = 15,685,057,600
  5. Step 5: Solve for x
    x = 15,685,057,600/85,142
  6. Step 6: Final answer
    x = 184,222.33

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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.