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Finding the Third Proportional to 67,368 and 101,898

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Solution

The third proportional to 67,368 and 101,898 is: 154,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,368 : 101,898 = 101,898 : x
  2. Step 2: Convert to fraction form
    67,368/101,898 = 101,898/x
  3. Step 3: Cross multiply
    67,368x = 101,898 × 101,898
  4. Step 4: Simplify right side
    67,368x = 10,383,202,404
  5. Step 5: Solve for x
    x = 10,383,202,404/67,368
  6. Step 6: Final answer
    x = 154,126.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.