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Finding the Third Proportional to 92,914 and 141,555

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Solution

The third proportional to 92,914 and 141,555 is: 215,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,914 : 141,555 = 141,555 : x
  2. Step 2: Convert to fraction form
    92,914/141,555 = 141,555/x
  3. Step 3: Cross multiply
    92,914x = 141,555 × 141,555
  4. Step 4: Simplify right side
    92,914x = 20,037,818,025
  5. Step 5: Solve for x
    x = 20,037,818,025/92,914
  6. Step 6: Final answer
    x = 215,659.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.