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Finding the Third Proportional to 61,687.75 and 133,945.63

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Solution

The third proportional to 61,687.75 and 133,945.63 is: 290,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,687.75 : 133,945.63 = 133,945.63 : x
  2. Step 2: Convert to fraction form
    61,687.75/133,945.63 = 133,945.63/x
  3. Step 3: Cross multiply
    61,687.75x = 133,945.63 × 133,945.63
  4. Step 4: Simplify right side
    61,687.75x = 17,941,430,456.64
  5. Step 5: Solve for x
    x = 17,941,430,456.64/61,687.75
  6. Step 6: Final answer
    x = 290,842.68

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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.