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Finding the Third Proportional to 123,776 and 193,059

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Solution

The third proportional to 123,776 and 193,059 is: 301,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,776 : 193,059 = 193,059 : x
  2. Step 2: Convert to fraction form
    123,776/193,059 = 193,059/x
  3. Step 3: Cross multiply
    123,776x = 193,059 × 193,059
  4. Step 4: Simplify right side
    123,776x = 37,271,777,481
  5. Step 5: Solve for x
    x = 37,271,777,481/123,776
  6. Step 6: Final answer
    x = 301,122.81

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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.