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Finding the Third Proportional to 66,648.50 and 140,789

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Solution

The third proportional to 66,648.50 and 140,789 is: 297,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,648.50 : 140,789 = 140,789 : x
  2. Step 2: Convert to fraction form
    66,648.50/140,789 = 140,789/x
  3. Step 3: Cross multiply
    66,648.50x = 140,789 × 140,789
  4. Step 4: Simplify right side
    66,648.50x = 19,821,542,521
  5. Step 5: Solve for x
    x = 19,821,542,521/66,648.50
  6. Step 6: Final answer
    x = 297,404.18

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.