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Finding the Third Proportional to 122,767 and 185,813

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Solution

The third proportional to 122,767 and 185,813 is: 281,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,767 : 185,813 = 185,813 : x
  2. Step 2: Convert to fraction form
    122,767/185,813 = 185,813/x
  3. Step 3: Cross multiply
    122,767x = 185,813 × 185,813
  4. Step 4: Simplify right side
    122,767x = 34,526,470,969
  5. Step 5: Solve for x
    x = 34,526,470,969/122,767
  6. Step 6: Final answer
    x = 281,235.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.