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Finding the Third Proportional to 90,242 and 132,284

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Solution

The third proportional to 90,242 and 132,284 is: 193,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,242 : 132,284 = 132,284 : x
  2. Step 2: Convert to fraction form
    90,242/132,284 = 132,284/x
  3. Step 3: Cross multiply
    90,242x = 132,284 × 132,284
  4. Step 4: Simplify right side
    90,242x = 17,499,056,656
  5. Step 5: Solve for x
    x = 17,499,056,656/90,242
  6. Step 6: Final answer
    x = 193,912.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.