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Finding the Third Proportional to 53,936.25 and 117,604.50

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Solution

The third proportional to 53,936.25 and 117,604.50 is: 256,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,936.25 : 117,604.50 = 117,604.50 : x
  2. Step 2: Convert to fraction form
    53,936.25/117,604.50 = 117,604.50/x
  3. Step 3: Cross multiply
    53,936.25x = 117,604.50 × 117,604.50
  4. Step 4: Simplify right side
    53,936.25x = 13,830,818,420.25
  5. Step 5: Solve for x
    x = 13,830,818,420.25/53,936.25
  6. Step 6: Final answer
    x = 256,429.00

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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.