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Finding the Third Proportional to 70,043 and 104,817

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Solution

The third proportional to 70,043 and 104,817 is: 156,855.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,043 : 104,817 = 104,817 : x
  2. Step 2: Convert to fraction form
    70,043/104,817 = 104,817/x
  3. Step 3: Cross multiply
    70,043x = 104,817 × 104,817
  4. Step 4: Simplify right side
    70,043x = 10,986,603,489
  5. Step 5: Solve for x
    x = 10,986,603,489/70,043
  6. Step 6: Final answer
    x = 156,855.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.