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Finding the Third Proportional to 41,650 and 89,953

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Solution

The third proportional to 41,650 and 89,953 is: 194,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,650 : 89,953 = 89,953 : x
  2. Step 2: Convert to fraction form
    41,650/89,953 = 89,953/x
  3. Step 3: Cross multiply
    41,650x = 89,953 × 89,953
  4. Step 4: Simplify right side
    41,650x = 8,091,542,209
  5. Step 5: Solve for x
    x = 8,091,542,209/41,650
  6. Step 6: Final answer
    x = 194,274.72

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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.