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Finding the Third Proportional to 53,084 and 106,168

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Solution

The third proportional to 53,084 and 106,168 is: 212,336

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,084 : 106,168 = 106,168 : x
  2. Step 2: Convert to fraction form
    53,084/106,168 = 106,168/x
  3. Step 3: Cross multiply
    53,084x = 106,168 × 106,168
  4. Step 4: Simplify right side
    53,084x = 11,271,644,224
  5. Step 5: Solve for x
    x = 11,271,644,224/53,084
  6. Step 6: Final answer
    x = 212,336

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.