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Finding the Third Proportional to 123,043 and 175,951

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Solution

The third proportional to 123,043 and 175,951 is: 251,609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,043 : 175,951 = 175,951 : x
  2. Step 2: Convert to fraction form
    123,043/175,951 = 175,951/x
  3. Step 3: Cross multiply
    123,043x = 175,951 × 175,951
  4. Step 4: Simplify right side
    123,043x = 30,958,754,401
  5. Step 5: Solve for x
    x = 30,958,754,401/123,043
  6. Step 6: Final answer
    x = 251,609.23

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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.