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Finding the Third Proportional to 65,083.50 and 140,130

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Solution

The third proportional to 65,083.50 and 140,130 is: 301,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,083.50 : 140,130 = 140,130 : x
  2. Step 2: Convert to fraction form
    65,083.50/140,130 = 140,130/x
  3. Step 3: Cross multiply
    65,083.50x = 140,130 × 140,130
  4. Step 4: Simplify right side
    65,083.50x = 19,636,416,900
  5. Step 5: Solve for x
    x = 19,636,416,900/65,083.50
  6. Step 6: Final answer
    x = 301,711.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.