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Finding the Third Proportional to 70,124 and 105,914

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Solution

The third proportional to 70,124 and 105,914 is: 159,970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,124 : 105,914 = 105,914 : x
  2. Step 2: Convert to fraction form
    70,124/105,914 = 105,914/x
  3. Step 3: Cross multiply
    70,124x = 105,914 × 105,914
  4. Step 4: Simplify right side
    70,124x = 11,217,775,396
  5. Step 5: Solve for x
    x = 11,217,775,396/70,124
  6. Step 6: Final answer
    x = 159,970.56

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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.