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Finding the Third Proportional to 114,996 and 252,132

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Solution

The third proportional to 114,996 and 252,132 is: 552,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,996 : 252,132 = 252,132 : x
  2. Step 2: Convert to fraction form
    114,996/252,132 = 252,132/x
  3. Step 3: Cross multiply
    114,996x = 252,132 × 252,132
  4. Step 4: Simplify right side
    114,996x = 63,570,545,424
  5. Step 5: Solve for x
    x = 63,570,545,424/114,996
  6. Step 6: Final answer
    x = 552,806.58

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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.