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Finding the Third Proportional to 65,744.44 and 139,680

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Solution

The third proportional to 65,744.44 and 139,680 is: 296,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,744.44 : 139,680 = 139,680 : x
  2. Step 2: Convert to fraction form
    65,744.44/139,680 = 139,680/x
  3. Step 3: Cross multiply
    65,744.44x = 139,680 × 139,680
  4. Step 4: Simplify right side
    65,744.44x = 19,510,502,400
  5. Step 5: Solve for x
    x = 19,510,502,400/65,744.44
  6. Step 6: Final answer
    x = 296,762.79

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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.