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Finding the Third Proportional to 55,226 and 118,264

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Solution

The third proportional to 55,226 and 118,264 is: 253,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,226 : 118,264 = 118,264 : x
  2. Step 2: Convert to fraction form
    55,226/118,264 = 118,264/x
  3. Step 3: Cross multiply
    55,226x = 118,264 × 118,264
  4. Step 4: Simplify right side
    55,226x = 13,986,373,696
  5. Step 5: Solve for x
    x = 13,986,373,696/55,226
  6. Step 6: Final answer
    x = 253,257.05

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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.