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Finding the Third Proportional to 54,264 and 111,776

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Solution

The third proportional to 54,264 and 111,776 is: 230,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,264 : 111,776 = 111,776 : x
  2. Step 2: Convert to fraction form
    54,264/111,776 = 111,776/x
  3. Step 3: Cross multiply
    54,264x = 111,776 × 111,776
  4. Step 4: Simplify right side
    54,264x = 12,493,874,176
  5. Step 5: Solve for x
    x = 12,493,874,176/54,264
  6. Step 6: Final answer
    x = 230,242.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.