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Finding the Third Proportional to 58,116 and 122,760

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Solution

The third proportional to 58,116 and 122,760 is: 259,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,116 : 122,760 = 122,760 : x
  2. Step 2: Convert to fraction form
    58,116/122,760 = 122,760/x
  3. Step 3: Cross multiply
    58,116x = 122,760 × 122,760
  4. Step 4: Simplify right side
    58,116x = 15,070,017,600
  5. Step 5: Solve for x
    x = 15,070,017,600/58,116
  6. Step 6: Final answer
    x = 259,309.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.