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Finding the Third Proportional to 42,465 and 91,851

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Solution

The third proportional to 42,465 and 91,851 is: 198,671.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,465 : 91,851 = 91,851 : x
  2. Step 2: Convert to fraction form
    42,465/91,851 = 91,851/x
  3. Step 3: Cross multiply
    42,465x = 91,851 × 91,851
  4. Step 4: Simplify right side
    42,465x = 8,436,606,201
  5. Step 5: Solve for x
    x = 8,436,606,201/42,465
  6. Step 6: Final answer
    x = 198,671.99

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