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Finding the Third Proportional to 55,726 and 119,732

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Solution

The third proportional to 55,726 and 119,732 is: 257,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,726 : 119,732 = 119,732 : x
  2. Step 2: Convert to fraction form
    55,726/119,732 = 119,732/x
  3. Step 3: Cross multiply
    55,726x = 119,732 × 119,732
  4. Step 4: Simplify right side
    55,726x = 14,335,751,824
  5. Step 5: Solve for x
    x = 14,335,751,824/55,726
  6. Step 6: Final answer
    x = 257,254.28

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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.