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Finding the Third Proportional to 53,572.25 and 116,668.75

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Solution

The third proportional to 53,572.25 and 116,668.75 is: 254,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,572.25 : 116,668.75 = 116,668.75 : x
  2. Step 2: Convert to fraction form
    53,572.25/116,668.75 = 116,668.75/x
  3. Step 3: Cross multiply
    53,572.25x = 116,668.75 × 116,668.75
  4. Step 4: Simplify right side
    53,572.25x = 13,611,597,226.56
  5. Step 5: Solve for x
    x = 13,611,597,226.56/53,572.25
  6. Step 6: Final answer
    x = 254,079.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.