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Finding the Third Proportional to 116,947 and 162,937

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Solution

The third proportional to 116,947 and 162,937 is: 227,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,947 : 162,937 = 162,937 : x
  2. Step 2: Convert to fraction form
    116,947/162,937 = 162,937/x
  3. Step 3: Cross multiply
    116,947x = 162,937 × 162,937
  4. Step 4: Simplify right side
    116,947x = 26,548,465,969
  5. Step 5: Solve for x
    x = 26,548,465,969/116,947
  6. Step 6: Final answer
    x = 227,012.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.