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Finding the Third Proportional to 55,276 and 118,437

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Solution

The third proportional to 55,276 and 118,437 is: 253,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,276 : 118,437 = 118,437 : x
  2. Step 2: Convert to fraction form
    55,276/118,437 = 118,437/x
  3. Step 3: Cross multiply
    55,276x = 118,437 × 118,437
  4. Step 4: Simplify right side
    55,276x = 14,027,322,969
  5. Step 5: Solve for x
    x = 14,027,322,969/55,276
  6. Step 6: Final answer
    x = 253,768.78

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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.