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Finding the Third Proportional to 116,542 and 174,749

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Solution

The third proportional to 116,542 and 174,749 is: 262,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,542 : 174,749 = 174,749 : x
  2. Step 2: Convert to fraction form
    116,542/174,749 = 174,749/x
  3. Step 3: Cross multiply
    116,542x = 174,749 × 174,749
  4. Step 4: Simplify right side
    116,542x = 30,537,213,001
  5. Step 5: Solve for x
    x = 30,537,213,001/116,542
  6. Step 6: Final answer
    x = 262,027.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.