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Finding the Third Proportional to 51,365 and 111,154

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Solution

The third proportional to 51,365 and 111,154 is: 240,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,365 : 111,154 = 111,154 : x
  2. Step 2: Convert to fraction form
    51,365/111,154 = 111,154/x
  3. Step 3: Cross multiply
    51,365x = 111,154 × 111,154
  4. Step 4: Simplify right side
    51,365x = 12,355,211,716
  5. Step 5: Solve for x
    x = 12,355,211,716/51,365
  6. Step 6: Final answer
    x = 240,537.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.