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Finding the Third Proportional to 64,381.50 and 140,427

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Solution

The third proportional to 64,381.50 and 140,427 is: 306,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,381.50 : 140,427 = 140,427 : x
  2. Step 2: Convert to fraction form
    64,381.50/140,427 = 140,427/x
  3. Step 3: Cross multiply
    64,381.50x = 140,427 × 140,427
  4. Step 4: Simplify right side
    64,381.50x = 19,719,742,329
  5. Step 5: Solve for x
    x = 19,719,742,329/64,381.50
  6. Step 6: Final answer
    x = 306,295.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.