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Finding the Third Proportional to 120,188.25 and 186,837.75

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Solution

The third proportional to 120,188.25 and 186,837.75 is: 290,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,188.25 : 186,837.75 = 186,837.75 : x
  2. Step 2: Convert to fraction form
    120,188.25/186,837.75 = 186,837.75/x
  3. Step 3: Cross multiply
    120,188.25x = 186,837.75 × 186,837.75
  4. Step 4: Simplify right side
    120,188.25x = 34,908,344,825.06
  5. Step 5: Solve for x
    x = 34,908,344,825.06/120,188.25
  6. Step 6: Final answer
    x = 290,447.23

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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.