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Finding the Third Proportional to 53,899.75 and 117,237.25

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Solution

The third proportional to 53,899.75 and 117,237.25 is: 255,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,899.75 : 117,237.25 = 117,237.25 : x
  2. Step 2: Convert to fraction form
    53,899.75/117,237.25 = 117,237.25/x
  3. Step 3: Cross multiply
    53,899.75x = 117,237.25 × 117,237.25
  4. Step 4: Simplify right side
    53,899.75x = 13,744,572,787.56
  5. Step 5: Solve for x
    x = 13,744,572,787.56/53,899.75
  6. Step 6: Final answer
    x = 255,002.53

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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.