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Finding the Third Proportional to 118,672 and 275,944

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Solution

The third proportional to 118,672 and 275,944 is: 641,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,672 : 275,944 = 275,944 : x
  2. Step 2: Convert to fraction form
    118,672/275,944 = 275,944/x
  3. Step 3: Cross multiply
    118,672x = 275,944 × 275,944
  4. Step 4: Simplify right side
    118,672x = 76,145,091,136
  5. Step 5: Solve for x
    x = 76,145,091,136/118,672
  6. Step 6: Final answer
    x = 641,643.28

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.