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Finding the Third Proportional to 53,660.81 and 116,548.31

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Solution

The third proportional to 53,660.81 and 116,548.31 is: 253,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,660.81 : 116,548.31 = 116,548.31 : x
  2. Step 2: Convert to fraction form
    53,660.81/116,548.31 = 116,548.31/x
  3. Step 3: Cross multiply
    53,660.81x = 116,548.31 × 116,548.31
  4. Step 4: Simplify right side
    53,660.81x = 13,583,509,146.60
  5. Step 5: Solve for x
    x = 13,583,509,146.60/53,660.81
  6. Step 6: Final answer
    x = 253,136.48

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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.