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Finding the Third Proportional to 61,537.50 and 133,749

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Solution

The third proportional to 61,537.50 and 133,749 is: 290,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,537.50 : 133,749 = 133,749 : x
  2. Step 2: Convert to fraction form
    61,537.50/133,749 = 133,749/x
  3. Step 3: Cross multiply
    61,537.50x = 133,749 × 133,749
  4. Step 4: Simplify right side
    61,537.50x = 17,888,795,001
  5. Step 5: Solve for x
    x = 17,888,795,001/61,537.50
  6. Step 6: Final answer
    x = 290,697.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.