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Finding the Third Proportional to 134,124 and 187,962

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Solution

The third proportional to 134,124 and 187,962 is: 263,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,124 : 187,962 = 187,962 : x
  2. Step 2: Convert to fraction form
    134,124/187,962 = 187,962/x
  3. Step 3: Cross multiply
    134,124x = 187,962 × 187,962
  4. Step 4: Simplify right side
    134,124x = 35,329,713,444
  5. Step 5: Solve for x
    x = 35,329,713,444/134,124
  6. Step 6: Final answer
    x = 263,410.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.