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Finding the Third Proportional to 54,672 and 119,556

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Solution

The third proportional to 54,672 and 119,556 is: 261,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,672 : 119,556 = 119,556 : x
  2. Step 2: Convert to fraction form
    54,672/119,556 = 119,556/x
  3. Step 3: Cross multiply
    54,672x = 119,556 × 119,556
  4. Step 4: Simplify right side
    54,672x = 14,293,637,136
  5. Step 5: Solve for x
    x = 14,293,637,136/54,672
  6. Step 6: Final answer
    x = 261,443.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.