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Finding the Third Proportional to 70,255 and 107,142

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Solution

The third proportional to 70,255 and 107,142 is: 163,396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,255 : 107,142 = 107,142 : x
  2. Step 2: Convert to fraction form
    70,255/107,142 = 107,142/x
  3. Step 3: Cross multiply
    70,255x = 107,142 × 107,142
  4. Step 4: Simplify right side
    70,255x = 11,479,408,164
  5. Step 5: Solve for x
    x = 11,479,408,164/70,255
  6. Step 6: Final answer
    x = 163,396.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.