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Finding the Third Proportional to 71,266 and 153,944

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Solution

The third proportional to 71,266 and 153,944 is: 332,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,266 : 153,944 = 153,944 : x
  2. Step 2: Convert to fraction form
    71,266/153,944 = 153,944/x
  3. Step 3: Cross multiply
    71,266x = 153,944 × 153,944
  4. Step 4: Simplify right side
    71,266x = 23,698,755,136
  5. Step 5: Solve for x
    x = 23,698,755,136/71,266
  6. Step 6: Final answer
    x = 332,539.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.