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Finding the Third Proportional to 53,622 and 117,612

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Solution

The third proportional to 53,622 and 117,612 is: 257,964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,622 : 117,612 = 117,612 : x
  2. Step 2: Convert to fraction form
    53,622/117,612 = 117,612/x
  3. Step 3: Cross multiply
    53,622x = 117,612 × 117,612
  4. Step 4: Simplify right side
    53,622x = 13,832,582,544
  5. Step 5: Solve for x
    x = 13,832,582,544/53,622
  6. Step 6: Final answer
    x = 257,964.69

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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.