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Finding the Third Proportional to 125,992 and 181,536

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Solution

The third proportional to 125,992 and 181,536 is: 261,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,992 : 181,536 = 181,536 : x
  2. Step 2: Convert to fraction form
    125,992/181,536 = 181,536/x
  3. Step 3: Cross multiply
    125,992x = 181,536 × 181,536
  4. Step 4: Simplify right side
    125,992x = 32,955,319,296
  5. Step 5: Solve for x
    x = 32,955,319,296/125,992
  6. Step 6: Final answer
    x = 261,566.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.