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Finding the Third Proportional to 123,502 and 187,918

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Solution

The third proportional to 123,502 and 187,918 is: 285,932.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,502 : 187,918 = 187,918 : x
  2. Step 2: Convert to fraction form
    123,502/187,918 = 187,918/x
  3. Step 3: Cross multiply
    123,502x = 187,918 × 187,918
  4. Step 4: Simplify right side
    123,502x = 35,313,174,724
  5. Step 5: Solve for x
    x = 35,313,174,724/123,502
  6. Step 6: Final answer
    x = 285,932.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.