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Finding the Third Proportional to 61,654 and 126,221

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Solution

The third proportional to 61,654 and 126,221 is: 258,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,654 : 126,221 = 126,221 : x
  2. Step 2: Convert to fraction form
    61,654/126,221 = 126,221/x
  3. Step 3: Cross multiply
    61,654x = 126,221 × 126,221
  4. Step 4: Simplify right side
    61,654x = 15,931,740,841
  5. Step 5: Solve for x
    x = 15,931,740,841/61,654
  6. Step 6: Final answer
    x = 258,405.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.