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Finding the Third Proportional to 139,749 and 217,924.50

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Solution

The third proportional to 139,749 and 217,924.50 is: 339,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,749 : 217,924.50 = 217,924.50 : x
  2. Step 2: Convert to fraction form
    139,749/217,924.50 = 217,924.50/x
  3. Step 3: Cross multiply
    139,749x = 217,924.50 × 217,924.50
  4. Step 4: Simplify right side
    139,749x = 47,491,087,700.25
  5. Step 5: Solve for x
    x = 47,491,087,700.25/139,749
  6. Step 6: Final answer
    x = 339,831.32

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.