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Finding the Third Proportional to 76,968 and 168,048

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Solution

The third proportional to 76,968 and 168,048 is: 366,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,968 : 168,048 = 168,048 : x
  2. Step 2: Convert to fraction form
    76,968/168,048 = 168,048/x
  3. Step 3: Cross multiply
    76,968x = 168,048 × 168,048
  4. Step 4: Simplify right side
    76,968x = 28,240,130,304
  5. Step 5: Solve for x
    x = 28,240,130,304/76,968
  6. Step 6: Final answer
    x = 366,907.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.