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Finding the Third Proportional to 122,927 and 185,521

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Solution

The third proportional to 122,927 and 185,521 is: 279,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,927 : 185,521 = 185,521 : x
  2. Step 2: Convert to fraction form
    122,927/185,521 = 185,521/x
  3. Step 3: Cross multiply
    122,927x = 185,521 × 185,521
  4. Step 4: Simplify right side
    122,927x = 34,418,041,441
  5. Step 5: Solve for x
    x = 34,418,041,441/122,927
  6. Step 6: Final answer
    x = 279,987.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.