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Finding the Third Proportional to 121,125 and 185,924

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Solution

The third proportional to 121,125 and 185,924 is: 285,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,125 : 185,924 = 185,924 : x
  2. Step 2: Convert to fraction form
    121,125/185,924 = 185,924/x
  3. Step 3: Cross multiply
    121,125x = 185,924 × 185,924
  4. Step 4: Simplify right side
    121,125x = 34,567,733,776
  5. Step 5: Solve for x
    x = 34,567,733,776/121,125
  6. Step 6: Final answer
    x = 285,388.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.