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Finding the Third Proportional to 42,018 and 90,408

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Solution

The third proportional to 42,018 and 90,408 is: 194,526.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,018 : 90,408 = 90,408 : x
  2. Step 2: Convert to fraction form
    42,018/90,408 = 90,408/x
  3. Step 3: Cross multiply
    42,018x = 90,408 × 90,408
  4. Step 4: Simplify right side
    42,018x = 8,173,606,464
  5. Step 5: Solve for x
    x = 8,173,606,464/42,018
  6. Step 6: Final answer
    x = 194,526.31

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