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Finding the Third Proportional to 53,865 and 117,392.63

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Solution

The third proportional to 53,865 and 117,392.63 is: 255,843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,865 : 117,392.63 = 117,392.63 : x
  2. Step 2: Convert to fraction form
    53,865/117,392.63 = 117,392.63/x
  3. Step 3: Cross multiply
    53,865x = 117,392.63 × 117,392.63
  4. Step 4: Simplify right side
    53,865x = 13,781,028,404.39
  5. Step 5: Solve for x
    x = 13,781,028,404.39/53,865
  6. Step 6: Final answer
    x = 255,843.84

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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.