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Finding the Third Proportional to 61,955 and 131,902

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Solution

The third proportional to 61,955 and 131,902 is: 280,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,955 : 131,902 = 131,902 : x
  2. Step 2: Convert to fraction form
    61,955/131,902 = 131,902/x
  3. Step 3: Cross multiply
    61,955x = 131,902 × 131,902
  4. Step 4: Simplify right side
    61,955x = 17,398,137,604
  5. Step 5: Solve for x
    x = 17,398,137,604/61,955
  6. Step 6: Final answer
    x = 280,818.94

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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.