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Finding the Third Proportional to 123,746 and 193,017

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Solution

The third proportional to 123,746 and 193,017 is: 301,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,746 : 193,017 = 193,017 : x
  2. Step 2: Convert to fraction form
    123,746/193,017 = 193,017/x
  3. Step 3: Cross multiply
    123,746x = 193,017 × 193,017
  4. Step 4: Simplify right side
    123,746x = 37,255,562,289
  5. Step 5: Solve for x
    x = 37,255,562,289/123,746
  6. Step 6: Final answer
    x = 301,064.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.