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Finding the Third Proportional to 77,896 and 168,914

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Solution

The third proportional to 77,896 and 168,914 is: 366,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,896 : 168,914 = 168,914 : x
  2. Step 2: Convert to fraction form
    77,896/168,914 = 168,914/x
  3. Step 3: Cross multiply
    77,896x = 168,914 × 168,914
  4. Step 4: Simplify right side
    77,896x = 28,531,939,396
  5. Step 5: Solve for x
    x = 28,531,939,396/77,896
  6. Step 6: Final answer
    x = 366,282.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.