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Finding the Third Proportional to 41,715 and 90,141

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Solution

The third proportional to 41,715 and 90,141 is: 194,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,715 : 90,141 = 90,141 : x
  2. Step 2: Convert to fraction form
    41,715/90,141 = 90,141/x
  3. Step 3: Cross multiply
    41,715x = 90,141 × 90,141
  4. Step 4: Simplify right side
    41,715x = 8,125,399,881
  5. Step 5: Solve for x
    x = 8,125,399,881/41,715
  6. Step 6: Final answer
    x = 194,783.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.