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Finding the Third Proportional to 52,275 and 107,322

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Solution

The third proportional to 52,275 and 107,322 is: 220,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,275 : 107,322 = 107,322 : x
  2. Step 2: Convert to fraction form
    52,275/107,322 = 107,322/x
  3. Step 3: Cross multiply
    52,275x = 107,322 × 107,322
  4. Step 4: Simplify right side
    52,275x = 11,518,011,684
  5. Step 5: Solve for x
    x = 11,518,011,684/52,275
  6. Step 6: Final answer
    x = 220,334.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.