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Finding the Third Proportional to 61,053 and 126,783

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Solution

The third proportional to 61,053 and 126,783 is: 263,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,053 : 126,783 = 126,783 : x
  2. Step 2: Convert to fraction form
    61,053/126,783 = 126,783/x
  3. Step 3: Cross multiply
    61,053x = 126,783 × 126,783
  4. Step 4: Simplify right side
    61,053x = 16,073,929,089
  5. Step 5: Solve for x
    x = 16,073,929,089/61,053
  6. Step 6: Final answer
    x = 263,278.28

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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.