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Finding the Third Proportional to 51,636 and 107,952

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Solution

The third proportional to 51,636 and 107,952 is: 225,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,636 : 107,952 = 107,952 : x
  2. Step 2: Convert to fraction form
    51,636/107,952 = 107,952/x
  3. Step 3: Cross multiply
    51,636x = 107,952 × 107,952
  4. Step 4: Simplify right side
    51,636x = 11,653,634,304
  5. Step 5: Solve for x
    x = 11,653,634,304/51,636
  6. Step 6: Final answer
    x = 225,688.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.