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Finding the Third Proportional to 42,108 and 90,897

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Solution

The third proportional to 42,108 and 90,897 is: 196,216.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,108 : 90,897 = 90,897 : x
  2. Step 2: Convert to fraction form
    42,108/90,897 = 90,897/x
  3. Step 3: Cross multiply
    42,108x = 90,897 × 90,897
  4. Step 4: Simplify right side
    42,108x = 8,262,264,609
  5. Step 5: Solve for x
    x = 8,262,264,609/42,108
  6. Step 6: Final answer
    x = 196,216.03

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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.