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Finding the Third Proportional to 67,509 and 104,802

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Solution

The third proportional to 67,509 and 104,802 is: 162,696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,509 : 104,802 = 104,802 : x
  2. Step 2: Convert to fraction form
    67,509/104,802 = 104,802/x
  3. Step 3: Cross multiply
    67,509x = 104,802 × 104,802
  4. Step 4: Simplify right side
    67,509x = 10,983,459,204
  5. Step 5: Solve for x
    x = 10,983,459,204/67,509
  6. Step 6: Final answer
    x = 162,696.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.