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Finding the Third Proportional to 51,912 and 115,506

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Solution

The third proportional to 51,912 and 115,506 is: 257,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,912 : 115,506 = 115,506 : x
  2. Step 2: Convert to fraction form
    51,912/115,506 = 115,506/x
  3. Step 3: Cross multiply
    51,912x = 115,506 × 115,506
  4. Step 4: Simplify right side
    51,912x = 13,341,636,036
  5. Step 5: Solve for x
    x = 13,341,636,036/51,912
  6. Step 6: Final answer
    x = 257,004.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.