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Finding the Third Proportional to 77,874 and 163,524

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Solution

The third proportional to 77,874 and 163,524 is: 343,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,874 : 163,524 = 163,524 : x
  2. Step 2: Convert to fraction form
    77,874/163,524 = 163,524/x
  3. Step 3: Cross multiply
    77,874x = 163,524 × 163,524
  4. Step 4: Simplify right side
    77,874x = 26,740,098,576
  5. Step 5: Solve for x
    x = 26,740,098,576/77,874
  6. Step 6: Final answer
    x = 343,376.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.