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Finding the Third Proportional to 90,798 and 140,919

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Solution

The third proportional to 90,798 and 140,919 is: 218,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,798 : 140,919 = 140,919 : x
  2. Step 2: Convert to fraction form
    90,798/140,919 = 140,919/x
  3. Step 3: Cross multiply
    90,798x = 140,919 × 140,919
  4. Step 4: Simplify right side
    90,798x = 19,858,164,561
  5. Step 5: Solve for x
    x = 19,858,164,561/90,798
  6. Step 6: Final answer
    x = 218,707.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.