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Finding the Third Proportional to 55,941 and 118,361

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Solution

The third proportional to 55,941 and 118,361 is: 250,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,941 : 118,361 = 118,361 : x
  2. Step 2: Convert to fraction form
    55,941/118,361 = 118,361/x
  3. Step 3: Cross multiply
    55,941x = 118,361 × 118,361
  4. Step 4: Simplify right side
    55,941x = 14,009,326,321
  5. Step 5: Solve for x
    x = 14,009,326,321/55,941
  6. Step 6: Final answer
    x = 250,430.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.