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Finding the Third Proportional to 74,313 and 114,247

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Solution

The third proportional to 74,313 and 114,247 is: 175,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,313 : 114,247 = 114,247 : x
  2. Step 2: Convert to fraction form
    74,313/114,247 = 114,247/x
  3. Step 3: Cross multiply
    74,313x = 114,247 × 114,247
  4. Step 4: Simplify right side
    74,313x = 13,052,377,009
  5. Step 5: Solve for x
    x = 13,052,377,009/74,313
  6. Step 6: Final answer
    x = 175,640.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.