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Finding the Third Proportional to 41,030 and 90,079

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Solution

The third proportional to 41,030 and 90,079 is: 197,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,030 : 90,079 = 90,079 : x
  2. Step 2: Convert to fraction form
    41,030/90,079 = 90,079/x
  3. Step 3: Cross multiply
    41,030x = 90,079 × 90,079
  4. Step 4: Simplify right side
    41,030x = 8,114,226,241
  5. Step 5: Solve for x
    x = 8,114,226,241/41,030
  6. Step 6: Final answer
    x = 197,763.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.