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Finding the Third Proportional to 41,835 and 90,510

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Solution

The third proportional to 41,835 and 90,510 is: 195,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,835 : 90,510 = 90,510 : x
  2. Step 2: Convert to fraction form
    41,835/90,510 = 90,510/x
  3. Step 3: Cross multiply
    41,835x = 90,510 × 90,510
  4. Step 4: Simplify right side
    41,835x = 8,192,060,100
  5. Step 5: Solve for x
    x = 8,192,060,100/41,835
  6. Step 6: Final answer
    x = 195,818.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.