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Finding the Third Proportional to 64,813 and 139,742

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Solution

The third proportional to 64,813 and 139,742 is: 301,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,813 : 139,742 = 139,742 : x
  2. Step 2: Convert to fraction form
    64,813/139,742 = 139,742/x
  3. Step 3: Cross multiply
    64,813x = 139,742 × 139,742
  4. Step 4: Simplify right side
    64,813x = 19,527,826,564
  5. Step 5: Solve for x
    x = 19,527,826,564/64,813
  6. Step 6: Final answer
    x = 301,294.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.