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Finding the Third Proportional to 123,045 and 175,954

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Solution

The third proportional to 123,045 and 175,954 is: 251,613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,045 : 175,954 = 175,954 : x
  2. Step 2: Convert to fraction form
    123,045/175,954 = 175,954/x
  3. Step 3: Cross multiply
    123,045x = 175,954 × 175,954
  4. Step 4: Simplify right side
    123,045x = 30,959,810,116
  5. Step 5: Solve for x
    x = 30,959,810,116/123,045
  6. Step 6: Final answer
    x = 251,613.72

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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.