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Finding the Third Proportional to 61,014.94 and 132,409.27

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Solution

The third proportional to 61,014.94 and 132,409.27 is: 287,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,014.94 : 132,409.27 = 132,409.27 : x
  2. Step 2: Convert to fraction form
    61,014.94/132,409.27 = 132,409.27/x
  3. Step 3: Cross multiply
    61,014.94x = 132,409.27 × 132,409.27
  4. Step 4: Simplify right side
    61,014.94x = 17,532,213,623.35
  5. Step 5: Solve for x
    x = 17,532,213,623.35/61,014.94
  6. Step 6: Final answer
    x = 287,342.97

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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.