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Finding the Third Proportional to 122,856 and 173,988

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Solution

The third proportional to 122,856 and 173,988 is: 246,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,856 : 173,988 = 173,988 : x
  2. Step 2: Convert to fraction form
    122,856/173,988 = 173,988/x
  3. Step 3: Cross multiply
    122,856x = 173,988 × 173,988
  4. Step 4: Simplify right side
    122,856x = 30,271,824,144
  5. Step 5: Solve for x
    x = 30,271,824,144/122,856
  6. Step 6: Final answer
    x = 246,400.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.