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Finding the Third Proportional to 51,906 and 113,586

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Solution

The third proportional to 51,906 and 113,586 is: 248,560.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,906 : 113,586 = 113,586 : x
  2. Step 2: Convert to fraction form
    51,906/113,586 = 113,586/x
  3. Step 3: Cross multiply
    51,906x = 113,586 × 113,586
  4. Step 4: Simplify right side
    51,906x = 12,901,779,396
  5. Step 5: Solve for x
    x = 12,901,779,396/51,906
  6. Step 6: Final answer
    x = 248,560.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.