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Finding the Third Proportional to 75,220.25 and 162,195.75

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Solution

The third proportional to 75,220.25 and 162,195.75 is: 349,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,220.25 : 162,195.75 = 162,195.75 : x
  2. Step 2: Convert to fraction form
    75,220.25/162,195.75 = 162,195.75/x
  3. Step 3: Cross multiply
    75,220.25x = 162,195.75 × 162,195.75
  4. Step 4: Simplify right side
    75,220.25x = 26,307,461,318.06
  5. Step 5: Solve for x
    x = 26,307,461,318.06/75,220.25
  6. Step 6: Final answer
    x = 349,739.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.