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Finding the Third Proportional to 42,051 and 90,969

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Solution

The third proportional to 42,051 and 90,969 is: 196,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,051 : 90,969 = 90,969 : x
  2. Step 2: Convert to fraction form
    42,051/90,969 = 90,969/x
  3. Step 3: Cross multiply
    42,051x = 90,969 × 90,969
  4. Step 4: Simplify right side
    42,051x = 8,275,358,961
  5. Step 5: Solve for x
    x = 8,275,358,961/42,051
  6. Step 6: Final answer
    x = 196,793.39

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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.