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Finding the Third Proportional to 93,078 and 139,241

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Solution

The third proportional to 93,078 and 139,241 is: 208,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,078 : 139,241 = 139,241 : x
  2. Step 2: Convert to fraction form
    93,078/139,241 = 139,241/x
  3. Step 3: Cross multiply
    93,078x = 139,241 × 139,241
  4. Step 4: Simplify right side
    93,078x = 19,388,056,081
  5. Step 5: Solve for x
    x = 19,388,056,081/93,078
  6. Step 6: Final answer
    x = 208,299.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.