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Finding the Third Proportional to 61,743 and 133,011

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Solution

The third proportional to 61,743 and 133,011 is: 286,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,743 : 133,011 = 133,011 : x
  2. Step 2: Convert to fraction form
    61,743/133,011 = 133,011/x
  3. Step 3: Cross multiply
    61,743x = 133,011 × 133,011
  4. Step 4: Simplify right side
    61,743x = 17,691,926,121
  5. Step 5: Solve for x
    x = 17,691,926,121/61,743
  6. Step 6: Final answer
    x = 286,541.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.