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Finding the Third Proportional to 94,990 and 141,020

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Solution

The third proportional to 94,990 and 141,020 is: 209,355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,990 : 141,020 = 141,020 : x
  2. Step 2: Convert to fraction form
    94,990/141,020 = 141,020/x
  3. Step 3: Cross multiply
    94,990x = 141,020 × 141,020
  4. Step 4: Simplify right side
    94,990x = 19,886,640,400
  5. Step 5: Solve for x
    x = 19,886,640,400/94,990
  6. Step 6: Final answer
    x = 209,355.09

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.