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Finding the Third Proportional to 75,427.03 and 162,817.78

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Solution

The third proportional to 75,427.03 and 162,817.78 is: 351,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,427.03 : 162,817.78 = 162,817.78 : x
  2. Step 2: Convert to fraction form
    75,427.03/162,817.78 = 162,817.78/x
  3. Step 3: Cross multiply
    75,427.03x = 162,817.78 × 162,817.78
  4. Step 4: Simplify right side
    75,427.03x = 26,509,629,891.17
  5. Step 5: Solve for x
    x = 26,509,629,891.17/75,427.03
  6. Step 6: Final answer
    x = 351,460.60

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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.