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Finding the Third Proportional to 73,937 and 114,698

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Solution

The third proportional to 73,937 and 114,698 is: 177,930.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,937 : 114,698 = 114,698 : x
  2. Step 2: Convert to fraction form
    73,937/114,698 = 114,698/x
  3. Step 3: Cross multiply
    73,937x = 114,698 × 114,698
  4. Step 4: Simplify right side
    73,937x = 13,155,631,204
  5. Step 5: Solve for x
    x = 13,155,631,204/73,937
  6. Step 6: Final answer
    x = 177,930.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.