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Finding the Third Proportional to 122,146 and 174,343

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Solution

The third proportional to 122,146 and 174,343 is: 248,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,146 : 174,343 = 174,343 : x
  2. Step 2: Convert to fraction form
    122,146/174,343 = 174,343/x
  3. Step 3: Cross multiply
    122,146x = 174,343 × 174,343
  4. Step 4: Simplify right side
    122,146x = 30,395,481,649
  5. Step 5: Solve for x
    x = 30,395,481,649/122,146
  6. Step 6: Final answer
    x = 248,845.49

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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.