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Finding the Third Proportional to 54,022 and 112,346

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Solution

The third proportional to 54,022 and 112,346 is: 233,638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,022 : 112,346 = 112,346 : x
  2. Step 2: Convert to fraction form
    54,022/112,346 = 112,346/x
  3. Step 3: Cross multiply
    54,022x = 112,346 × 112,346
  4. Step 4: Simplify right side
    54,022x = 12,621,623,716
  5. Step 5: Solve for x
    x = 12,621,623,716/54,022
  6. Step 6: Final answer
    x = 233,638.59

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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.