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Finding the Third Proportional to 53,880.38 and 117,792.75

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Solution

The third proportional to 53,880.38 and 117,792.75 is: 257,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,880.38 : 117,792.75 = 117,792.75 : x
  2. Step 2: Convert to fraction form
    53,880.38/117,792.75 = 117,792.75/x
  3. Step 3: Cross multiply
    53,880.38x = 117,792.75 × 117,792.75
  4. Step 4: Simplify right side
    53,880.38x = 13,875,131,952.56
  5. Step 5: Solve for x
    x = 13,875,131,952.56/53,880.38
  6. Step 6: Final answer
    x = 257,517.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.