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Finding the Third Proportional to 116,996 and 252,672

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Solution

The third proportional to 116,996 and 252,672 is: 545,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,996 : 252,672 = 252,672 : x
  2. Step 2: Convert to fraction form
    116,996/252,672 = 252,672/x
  3. Step 3: Cross multiply
    116,996x = 252,672 × 252,672
  4. Step 4: Simplify right side
    116,996x = 63,843,139,584
  5. Step 5: Solve for x
    x = 63,843,139,584/116,996
  6. Step 6: Final answer
    x = 545,686.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.