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Finding the Third Proportional to 53,573.06 and 117,660.94

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Solution

The third proportional to 53,573.06 and 117,660.94 is: 258,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,573.06 : 117,660.94 = 117,660.94 : x
  2. Step 2: Convert to fraction form
    53,573.06/117,660.94 = 117,660.94/x
  3. Step 3: Cross multiply
    53,573.06x = 117,660.94 × 117,660.94
  4. Step 4: Simplify right side
    53,573.06x = 13,844,096,213.38
  5. Step 5: Solve for x
    x = 13,844,096,213.38/53,573.06
  6. Step 6: Final answer
    x = 258,415.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.