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Finding the Third Proportional to 55,278 and 118,441

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Solution

The third proportional to 55,278 and 118,441 is: 253,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,278 : 118,441 = 118,441 : x
  2. Step 2: Convert to fraction form
    55,278/118,441 = 118,441/x
  3. Step 3: Cross multiply
    55,278x = 118,441 × 118,441
  4. Step 4: Simplify right side
    55,278x = 14,028,270,481
  5. Step 5: Solve for x
    x = 14,028,270,481/55,278
  6. Step 6: Final answer
    x = 253,776.74

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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.