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Finding the Third Proportional to 55,376 and 118,001

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Solution

The third proportional to 55,376 and 118,001 is: 251,448.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,376 : 118,001 = 118,001 : x
  2. Step 2: Convert to fraction form
    55,376/118,001 = 118,001/x
  3. Step 3: Cross multiply
    55,376x = 118,001 × 118,001
  4. Step 4: Simplify right side
    55,376x = 13,924,236,001
  5. Step 5: Solve for x
    x = 13,924,236,001/55,376
  6. Step 6: Final answer
    x = 251,448.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.