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Finding the Third Proportional to 55,757 and 114,232

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Solution

The third proportional to 55,757 and 114,232 is: 234,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,757 : 114,232 = 114,232 : x
  2. Step 2: Convert to fraction form
    55,757/114,232 = 114,232/x
  3. Step 3: Cross multiply
    55,757x = 114,232 × 114,232
  4. Step 4: Simplify right side
    55,757x = 13,048,949,824
  5. Step 5: Solve for x
    x = 13,048,949,824/55,757
  6. Step 6: Final answer
    x = 234,032.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.