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Finding the Third Proportional to 125,984 and 202,992

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Solution

The third proportional to 125,984 and 202,992 is: 327,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,984 : 202,992 = 202,992 : x
  2. Step 2: Convert to fraction form
    125,984/202,992 = 202,992/x
  3. Step 3: Cross multiply
    125,984x = 202,992 × 202,992
  4. Step 4: Simplify right side
    125,984x = 41,205,752,064
  5. Step 5: Solve for x
    x = 41,205,752,064/125,984
  6. Step 6: Final answer
    x = 327,071.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.