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Finding the Third Proportional to 68,798 and 105,168

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Solution

The third proportional to 68,798 and 105,168 is: 160,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,798 : 105,168 = 105,168 : x
  2. Step 2: Convert to fraction form
    68,798/105,168 = 105,168/x
  3. Step 3: Cross multiply
    68,798x = 105,168 × 105,168
  4. Step 4: Simplify right side
    68,798x = 11,060,308,224
  5. Step 5: Solve for x
    x = 11,060,308,224/68,798
  6. Step 6: Final answer
    x = 160,764.97

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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.