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Finding the Third Proportional to 61,047 and 126,771

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Solution

The third proportional to 61,047 and 126,771 is: 263,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,047 : 126,771 = 126,771 : x
  2. Step 2: Convert to fraction form
    61,047/126,771 = 126,771/x
  3. Step 3: Cross multiply
    61,047x = 126,771 × 126,771
  4. Step 4: Simplify right side
    61,047x = 16,070,886,441
  5. Step 5: Solve for x
    x = 16,070,886,441/61,047
  6. Step 6: Final answer
    x = 263,254.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.