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Finding the Third Proportional to 97,017 and 136,938

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Solution

The third proportional to 97,017 and 136,938 is: 193,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,017 : 136,938 = 136,938 : x
  2. Step 2: Convert to fraction form
    97,017/136,938 = 136,938/x
  3. Step 3: Cross multiply
    97,017x = 136,938 × 136,938
  4. Step 4: Simplify right side
    97,017x = 18,752,015,844
  5. Step 5: Solve for x
    x = 18,752,015,844/97,017
  6. Step 6: Final answer
    x = 193,285.88

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Why These Related Problems?

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