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Finding the Third Proportional to 63,716 and 139,094

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Solution

The third proportional to 63,716 and 139,094 is: 303,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,716 : 139,094 = 139,094 : x
  2. Step 2: Convert to fraction form
    63,716/139,094 = 139,094/x
  3. Step 3: Cross multiply
    63,716x = 139,094 × 139,094
  4. Step 4: Simplify right side
    63,716x = 19,347,140,836
  5. Step 5: Solve for x
    x = 19,347,140,836/63,716
  6. Step 6: Final answer
    x = 303,646.51

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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.