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Finding the Third Proportional to 90,140 and 141,399

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Solution

The third proportional to 90,140 and 141,399 is: 221,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,140 : 141,399 = 141,399 : x
  2. Step 2: Convert to fraction form
    90,140/141,399 = 141,399/x
  3. Step 3: Cross multiply
    90,140x = 141,399 × 141,399
  4. Step 4: Simplify right side
    90,140x = 19,993,677,201
  5. Step 5: Solve for x
    x = 19,993,677,201/90,140
  6. Step 6: Final answer
    x = 221,806.94

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.