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Finding the Third Proportional to 61,505.75 and 133,212.38

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Solution

The third proportional to 61,505.75 and 133,212.38 is: 288,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,505.75 : 133,212.38 = 133,212.38 : x
  2. Step 2: Convert to fraction form
    61,505.75/133,212.38 = 133,212.38/x
  3. Step 3: Cross multiply
    61,505.75x = 133,212.38 × 133,212.38
  4. Step 4: Simplify right side
    61,505.75x = 17,745,536,853.14
  5. Step 5: Solve for x
    x = 17,745,536,853.14/61,505.75
  6. Step 6: Final answer
    x = 288,518.34

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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.