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Finding the Third Proportional to 60,920 and 142,343

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Solution

The third proportional to 60,920 and 142,343 is: 332,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,920 : 142,343 = 142,343 : x
  2. Step 2: Convert to fraction form
    60,920/142,343 = 142,343/x
  3. Step 3: Cross multiply
    60,920x = 142,343 × 142,343
  4. Step 4: Simplify right side
    60,920x = 20,261,529,649
  5. Step 5: Solve for x
    x = 20,261,529,649/60,920
  6. Step 6: Final answer
    x = 332,592.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.