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Finding the Third Proportional to 119,930 and 173,265

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Solution

The third proportional to 119,930 and 173,265 is: 250,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,930 : 173,265 = 173,265 : x
  2. Step 2: Convert to fraction form
    119,930/173,265 = 173,265/x
  3. Step 3: Cross multiply
    119,930x = 173,265 × 173,265
  4. Step 4: Simplify right side
    119,930x = 30,020,760,225
  5. Step 5: Solve for x
    x = 30,020,760,225/119,930
  6. Step 6: Final answer
    x = 250,319.02

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.