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Finding the Third Proportional to 55,426 and 114,794

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Solution

The third proportional to 55,426 and 114,794 is: 237,752.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,426 : 114,794 = 114,794 : x
  2. Step 2: Convert to fraction form
    55,426/114,794 = 114,794/x
  3. Step 3: Cross multiply
    55,426x = 114,794 × 114,794
  4. Step 4: Simplify right side
    55,426x = 13,177,662,436
  5. Step 5: Solve for x
    x = 13,177,662,436/55,426
  6. Step 6: Final answer
    x = 237,752.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.