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Finding the Third Proportional to 41,545 and 90,100

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Solution

The third proportional to 41,545 and 90,100 is: 195,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,545 : 90,100 = 90,100 : x
  2. Step 2: Convert to fraction form
    41,545/90,100 = 90,100/x
  3. Step 3: Cross multiply
    41,545x = 90,100 × 90,100
  4. Step 4: Simplify right side
    41,545x = 8,118,010,000
  5. Step 5: Solve for x
    x = 8,118,010,000/41,545
  6. Step 6: Final answer
    x = 195,402.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.