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Finding the Third Proportional to 122,264 and 187,026

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Solution

The third proportional to 122,264 and 187,026 is: 286,091.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,264 : 187,026 = 187,026 : x
  2. Step 2: Convert to fraction form
    122,264/187,026 = 187,026/x
  3. Step 3: Cross multiply
    122,264x = 187,026 × 187,026
  4. Step 4: Simplify right side
    122,264x = 34,978,724,676
  5. Step 5: Solve for x
    x = 34,978,724,676/122,264
  6. Step 6: Final answer
    x = 286,091.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.