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Finding the Third Proportional to 114,162 and 182,313

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Solution

The third proportional to 114,162 and 182,313 is: 291,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,162 : 182,313 = 182,313 : x
  2. Step 2: Convert to fraction form
    114,162/182,313 = 182,313/x
  3. Step 3: Cross multiply
    114,162x = 182,313 × 182,313
  4. Step 4: Simplify right side
    114,162x = 33,238,029,969
  5. Step 5: Solve for x
    x = 33,238,029,969/114,162
  6. Step 6: Final answer
    x = 291,147.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.