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Finding the Third Proportional to 70,685 and 103,906

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Solution

The third proportional to 70,685 and 103,906 is: 152,740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,685 : 103,906 = 103,906 : x
  2. Step 2: Convert to fraction form
    70,685/103,906 = 103,906/x
  3. Step 3: Cross multiply
    70,685x = 103,906 × 103,906
  4. Step 4: Simplify right side
    70,685x = 10,796,456,836
  5. Step 5: Solve for x
    x = 10,796,456,836/70,685
  6. Step 6: Final answer
    x = 152,740.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.