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Finding the Third Proportional to 54,252 and 112,660

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Solution

The third proportional to 54,252 and 112,660 is: 233,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,252 : 112,660 = 112,660 : x
  2. Step 2: Convert to fraction form
    54,252/112,660 = 112,660/x
  3. Step 3: Cross multiply
    54,252x = 112,660 × 112,660
  4. Step 4: Simplify right side
    54,252x = 12,692,275,600
  5. Step 5: Solve for x
    x = 12,692,275,600/54,252
  6. Step 6: Final answer
    x = 233,950.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.