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Finding the Third Proportional to 52,717 and 116,232

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Solution

The third proportional to 52,717 and 116,232 is: 256,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,717 : 116,232 = 116,232 : x
  2. Step 2: Convert to fraction form
    52,717/116,232 = 116,232/x
  3. Step 3: Cross multiply
    52,717x = 116,232 × 116,232
  4. Step 4: Simplify right side
    52,717x = 13,509,877,824
  5. Step 5: Solve for x
    x = 13,509,877,824/52,717
  6. Step 6: Final answer
    x = 256,271.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.