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Finding the Third Proportional to 71,148 and 106,911

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Solution

The third proportional to 71,148 and 106,911 is: 160,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,148 : 106,911 = 106,911 : x
  2. Step 2: Convert to fraction form
    71,148/106,911 = 106,911/x
  3. Step 3: Cross multiply
    71,148x = 106,911 × 106,911
  4. Step 4: Simplify right side
    71,148x = 11,429,961,921
  5. Step 5: Solve for x
    x = 11,429,961,921/71,148
  6. Step 6: Final answer
    x = 160,650.50

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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.