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Finding the Third Proportional to 55,244 and 118,246

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Solution

The third proportional to 55,244 and 118,246 is: 253,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,244 : 118,246 = 118,246 : x
  2. Step 2: Convert to fraction form
    55,244/118,246 = 118,246/x
  3. Step 3: Cross multiply
    55,244x = 118,246 × 118,246
  4. Step 4: Simplify right side
    55,244x = 13,982,116,516
  5. Step 5: Solve for x
    x = 13,982,116,516/55,244
  6. Step 6: Final answer
    x = 253,097.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.