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Finding the Third Proportional to 93,006 and 139,245

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Solution

The third proportional to 93,006 and 139,245 is: 208,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,006 : 139,245 = 139,245 : x
  2. Step 2: Convert to fraction form
    93,006/139,245 = 139,245/x
  3. Step 3: Cross multiply
    93,006x = 139,245 × 139,245
  4. Step 4: Simplify right side
    93,006x = 19,389,170,025
  5. Step 5: Solve for x
    x = 19,389,170,025/93,006
  6. Step 6: Final answer
    x = 208,472.25

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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.