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Finding the Third Proportional to 52,030 and 111,950

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Solution

The third proportional to 52,030 and 111,950 is: 240,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,030 : 111,950 = 111,950 : x
  2. Step 2: Convert to fraction form
    52,030/111,950 = 111,950/x
  3. Step 3: Cross multiply
    52,030x = 111,950 × 111,950
  4. Step 4: Simplify right side
    52,030x = 12,532,802,500
  5. Step 5: Solve for x
    x = 12,532,802,500/52,030
  6. Step 6: Final answer
    x = 240,876.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.