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Finding the Third Proportional to 65,750 and 139,690

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Solution

The third proportional to 65,750 and 139,690 is: 296,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,750 : 139,690 = 139,690 : x
  2. Step 2: Convert to fraction form
    65,750/139,690 = 139,690/x
  3. Step 3: Cross multiply
    65,750x = 139,690 × 139,690
  4. Step 4: Simplify right side
    65,750x = 19,513,296,100
  5. Step 5: Solve for x
    x = 19,513,296,100/65,750
  6. Step 6: Final answer
    x = 296,780.17

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.