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Finding the Third Proportional to 75,328.56 and 162,188.33

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Solution

The third proportional to 75,328.56 and 162,188.33 is: 349,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,328.56 : 162,188.33 = 162,188.33 : x
  2. Step 2: Convert to fraction form
    75,328.56/162,188.33 = 162,188.33/x
  3. Step 3: Cross multiply
    75,328.56x = 162,188.33 × 162,188.33
  4. Step 4: Simplify right side
    75,328.56x = 26,305,053,888.87
  5. Step 5: Solve for x
    x = 26,305,053,888.87/75,328.56
  6. Step 6: Final answer
    x = 349,204.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.