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Finding the Third Proportional to 67,904 and 89,301

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Solution

The third proportional to 67,904 and 89,301 is: 117,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,904 : 89,301 = 89,301 : x
  2. Step 2: Convert to fraction form
    67,904/89,301 = 89,301/x
  3. Step 3: Cross multiply
    67,904x = 89,301 × 89,301
  4. Step 4: Simplify right side
    67,904x = 7,974,668,601
  5. Step 5: Solve for x
    x = 7,974,668,601/67,904
  6. Step 6: Final answer
    x = 117,440.34

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.