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Finding the Third Proportional to 77,936 and 168,988

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Solution

The third proportional to 77,936 and 168,988 is: 366,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,936 : 168,988 = 168,988 : x
  2. Step 2: Convert to fraction form
    77,936/168,988 = 168,988/x
  3. Step 3: Cross multiply
    77,936x = 168,988 × 168,988
  4. Step 4: Simplify right side
    77,936x = 28,556,944,144
  5. Step 5: Solve for x
    x = 28,556,944,144/77,936
  6. Step 6: Final answer
    x = 366,415.32

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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.