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Finding the Third Proportional to 68,000 and 97,954

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Solution

The third proportional to 68,000 and 97,954 is: 141,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,000 : 97,954 = 97,954 : x
  2. Step 2: Convert to fraction form
    68,000/97,954 = 97,954/x
  3. Step 3: Cross multiply
    68,000x = 97,954 × 97,954
  4. Step 4: Simplify right side
    68,000x = 9,594,986,116
  5. Step 5: Solve for x
    x = 9,594,986,116/68,000
  6. Step 6: Final answer
    x = 141,102.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.