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Finding the Third Proportional to 52,386 and 107,796

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Solution

The third proportional to 52,386 and 107,796 is: 221,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,386 : 107,796 = 107,796 : x
  2. Step 2: Convert to fraction form
    52,386/107,796 = 107,796/x
  3. Step 3: Cross multiply
    52,386x = 107,796 × 107,796
  4. Step 4: Simplify right side
    52,386x = 11,619,977,616
  5. Step 5: Solve for x
    x = 11,619,977,616/52,386
  6. Step 6: Final answer
    x = 221,814.56

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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.