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Finding the Third Proportional to 118,916 and 174,107

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Solution

The third proportional to 118,916 and 174,107 is: 254,913.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,916 : 174,107 = 174,107 : x
  2. Step 2: Convert to fraction form
    118,916/174,107 = 174,107/x
  3. Step 3: Cross multiply
    118,916x = 174,107 × 174,107
  4. Step 4: Simplify right side
    118,916x = 30,313,247,449
  5. Step 5: Solve for x
    x = 30,313,247,449/118,916
  6. Step 6: Final answer
    x = 254,913.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.