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Finding the Third Proportional to 117,066 and 252,852

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Solution

The third proportional to 117,066 and 252,852 is: 546,137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,066 : 252,852 = 252,852 : x
  2. Step 2: Convert to fraction form
    117,066/252,852 = 252,852/x
  3. Step 3: Cross multiply
    117,066x = 252,852 × 252,852
  4. Step 4: Simplify right side
    117,066x = 63,934,133,904
  5. Step 5: Solve for x
    x = 63,934,133,904/117,066
  6. Step 6: Final answer
    x = 546,137.51

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Why These Related Problems?

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