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Finding the Third Proportional to 118,912 and 174,101

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Solution

The third proportional to 118,912 and 174,101 is: 254,904.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,912 : 174,101 = 174,101 : x
  2. Step 2: Convert to fraction form
    118,912/174,101 = 174,101/x
  3. Step 3: Cross multiply
    118,912x = 174,101 × 174,101
  4. Step 4: Simplify right side
    118,912x = 30,311,158,201
  5. Step 5: Solve for x
    x = 30,311,158,201/118,912
  6. Step 6: Final answer
    x = 254,904.12

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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.