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Finding the Third Proportional to 71,150 and 103,050

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Solution

The third proportional to 71,150 and 103,050 is: 149,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,150 : 103,050 = 103,050 : x
  2. Step 2: Convert to fraction form
    71,150/103,050 = 103,050/x
  3. Step 3: Cross multiply
    71,150x = 103,050 × 103,050
  4. Step 4: Simplify right side
    71,150x = 10,619,302,500
  5. Step 5: Solve for x
    x = 10,619,302,500/71,150
  6. Step 6: Final answer
    x = 149,252.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.