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Finding the Third Proportional to 98,014 and 144,149

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Solution

The third proportional to 98,014 and 144,149 is: 211,999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,014 : 144,149 = 144,149 : x
  2. Step 2: Convert to fraction form
    98,014/144,149 = 144,149/x
  3. Step 3: Cross multiply
    98,014x = 144,149 × 144,149
  4. Step 4: Simplify right side
    98,014x = 20,778,934,201
  5. Step 5: Solve for x
    x = 20,778,934,201/98,014
  6. Step 6: Final answer
    x = 211,999.66

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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.