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Finding the Third Proportional to 122,145 and 174,344

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Solution

The third proportional to 122,145 and 174,344 is: 248,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,145 : 174,344 = 174,344 : x
  2. Step 2: Convert to fraction form
    122,145/174,344 = 174,344/x
  3. Step 3: Cross multiply
    122,145x = 174,344 × 174,344
  4. Step 4: Simplify right side
    122,145x = 30,395,830,336
  5. Step 5: Solve for x
    x = 30,395,830,336/122,145
  6. Step 6: Final answer
    x = 248,850.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.