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Finding the Third Proportional to 71,150 and 106,914

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Solution

The third proportional to 71,150 and 106,914 is: 160,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,150 : 106,914 = 106,914 : x
  2. Step 2: Convert to fraction form
    71,150/106,914 = 106,914/x
  3. Step 3: Cross multiply
    71,150x = 106,914 × 106,914
  4. Step 4: Simplify right side
    71,150x = 11,430,603,396
  5. Step 5: Solve for x
    x = 11,430,603,396/71,150
  6. Step 6: Final answer
    x = 160,655.00

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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.