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Finding the Third Proportional to 52,756 and 115,304

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Solution

The third proportional to 52,756 and 115,304 is: 252,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,756 : 115,304 = 115,304 : x
  2. Step 2: Convert to fraction form
    52,756/115,304 = 115,304/x
  3. Step 3: Cross multiply
    52,756x = 115,304 × 115,304
  4. Step 4: Simplify right side
    52,756x = 13,295,012,416
  5. Step 5: Solve for x
    x = 13,295,012,416/52,756
  6. Step 6: Final answer
    x = 252,009.49

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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.