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Finding the Third Proportional to 92,898 and 141,651

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Solution

The third proportional to 92,898 and 141,651 is: 215,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,898 : 141,651 = 141,651 : x
  2. Step 2: Convert to fraction form
    92,898/141,651 = 141,651/x
  3. Step 3: Cross multiply
    92,898x = 141,651 × 141,651
  4. Step 4: Simplify right side
    92,898x = 20,065,005,801
  5. Step 5: Solve for x
    x = 20,065,005,801/92,898
  6. Step 6: Final answer
    x = 215,989.64

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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.