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Finding the Third Proportional to 65,630 and 140,594

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Solution

The third proportional to 65,630 and 140,594 is: 301,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,630 : 140,594 = 140,594 : x
  2. Step 2: Convert to fraction form
    65,630/140,594 = 140,594/x
  3. Step 3: Cross multiply
    65,630x = 140,594 × 140,594
  4. Step 4: Simplify right side
    65,630x = 19,766,672,836
  5. Step 5: Solve for x
    x = 19,766,672,836/65,630
  6. Step 6: Final answer
    x = 301,183.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.