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Finding the Third Proportional to 117,069 and 252,858

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Solution

The third proportional to 117,069 and 252,858 is: 546,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,069 : 252,858 = 252,858 : x
  2. Step 2: Convert to fraction form
    117,069/252,858 = 252,858/x
  3. Step 3: Cross multiply
    117,069x = 252,858 × 252,858
  4. Step 4: Simplify right side
    117,069x = 63,937,168,164
  5. Step 5: Solve for x
    x = 63,937,168,164/117,069
  6. Step 6: Final answer
    x = 546,149.43

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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.