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Finding the Third Proportional to 61,794.14 and 132,894.42

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Solution

The third proportional to 61,794.14 and 132,894.42 is: 285,802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,794.14 : 132,894.42 = 132,894.42 : x
  2. Step 2: Convert to fraction form
    61,794.14/132,894.42 = 132,894.42/x
  3. Step 3: Cross multiply
    61,794.14x = 132,894.42 × 132,894.42
  4. Step 4: Simplify right side
    61,794.14x = 17,660,927,365.49
  5. Step 5: Solve for x
    x = 17,660,927,365.49/61,794.14
  6. Step 6: Final answer
    x = 285,802.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.