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Finding the Third Proportional to 60,864 and 93,512

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Solution

The third proportional to 60,864 and 93,512 is: 143,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,864 : 93,512 = 93,512 : x
  2. Step 2: Convert to fraction form
    60,864/93,512 = 93,512/x
  3. Step 3: Cross multiply
    60,864x = 93,512 × 93,512
  4. Step 4: Simplify right side
    60,864x = 8,744,494,144
  5. Step 5: Solve for x
    x = 8,744,494,144/60,864
  6. Step 6: Final answer
    x = 143,672.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.