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Finding the Third Proportional to 52,392 and 107,808

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Solution

The third proportional to 52,392 and 107,808 is: 221,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,392 : 107,808 = 107,808 : x
  2. Step 2: Convert to fraction form
    52,392/107,808 = 107,808/x
  3. Step 3: Cross multiply
    52,392x = 107,808 × 107,808
  4. Step 4: Simplify right side
    52,392x = 11,622,564,864
  5. Step 5: Solve for x
    x = 11,622,564,864/52,392
  6. Step 6: Final answer
    x = 221,838.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.