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Finding the Third Proportional to 97,014 and 136,935

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Solution

The third proportional to 97,014 and 136,935 is: 193,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,014 : 136,935 = 136,935 : x
  2. Step 2: Convert to fraction form
    97,014/136,935 = 136,935/x
  3. Step 3: Cross multiply
    97,014x = 136,935 × 136,935
  4. Step 4: Simplify right side
    97,014x = 18,751,194,225
  5. Step 5: Solve for x
    x = 18,751,194,225/97,014
  6. Step 6: Final answer
    x = 193,283.38

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.