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Finding the Third Proportional to 67,455 and 141,858

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Solution

The third proportional to 67,455 and 141,858 is: 298,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,455 : 141,858 = 141,858 : x
  2. Step 2: Convert to fraction form
    67,455/141,858 = 141,858/x
  3. Step 3: Cross multiply
    67,455x = 141,858 × 141,858
  4. Step 4: Simplify right side
    67,455x = 20,123,692,164
  5. Step 5: Solve for x
    x = 20,123,692,164/67,455
  6. Step 6: Final answer
    x = 298,327.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.