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Finding the Third Proportional to 42,140 and 90,922

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Solution

The third proportional to 42,140 and 90,922 is: 196,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,140 : 90,922 = 90,922 : x
  2. Step 2: Convert to fraction form
    42,140/90,922 = 90,922/x
  3. Step 3: Cross multiply
    42,140x = 90,922 × 90,922
  4. Step 4: Simplify right side
    42,140x = 8,266,810,084
  5. Step 5: Solve for x
    x = 8,266,810,084/42,140
  6. Step 6: Final answer
    x = 196,174.90

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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.