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Finding the Third Proportional to 53,661.75 and 116,549.25

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Solution

The third proportional to 53,661.75 and 116,549.25 is: 253,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,661.75 : 116,549.25 = 116,549.25 : x
  2. Step 2: Convert to fraction form
    53,661.75/116,549.25 = 116,549.25/x
  3. Step 3: Cross multiply
    53,661.75x = 116,549.25 × 116,549.25
  4. Step 4: Simplify right side
    53,661.75x = 13,583,727,675.56
  5. Step 5: Solve for x
    x = 13,583,727,675.56/53,661.75
  6. Step 6: Final answer
    x = 253,136.13

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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.