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Finding the Third Proportional to 119,837.25 and 186,327

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Solution

The third proportional to 119,837.25 and 186,327 is: 289,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,837.25 : 186,327 = 186,327 : x
  2. Step 2: Convert to fraction form
    119,837.25/186,327 = 186,327/x
  3. Step 3: Cross multiply
    119,837.25x = 186,327 × 186,327
  4. Step 4: Simplify right side
    119,837.25x = 34,717,750,929
  5. Step 5: Solve for x
    x = 34,717,750,929/119,837.25
  6. Step 6: Final answer
    x = 289,707.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.