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Finding the Third Proportional to 117,068 and 252,856

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Solution

The third proportional to 117,068 and 252,856 is: 546,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,068 : 252,856 = 252,856 : x
  2. Step 2: Convert to fraction form
    117,068/252,856 = 252,856/x
  3. Step 3: Cross multiply
    117,068x = 252,856 × 252,856
  4. Step 4: Simplify right side
    117,068x = 63,936,156,736
  5. Step 5: Solve for x
    x = 63,936,156,736/117,068
  6. Step 6: Final answer
    x = 546,145.46

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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.