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Finding the Third Proportional to 42,146.26 and 90,289.69

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Solution

The third proportional to 42,146.26 and 90,289.69 is: 193,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,146.26 : 90,289.69 = 90,289.69 : x
  2. Step 2: Convert to fraction form
    42,146.26/90,289.69 = 90,289.69/x
  3. Step 3: Cross multiply
    42,146.26x = 90,289.69 × 90,289.69
  4. Step 4: Simplify right side
    42,146.26x = 8,152,227,668.85
  5. Step 5: Solve for x
    x = 8,152,227,668.85/42,146.26
  6. Step 6: Final answer
    x = 193,427.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.