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Finding the Third Proportional to 41,178 and 61,758

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Solution

The third proportional to 41,178 and 61,758 is: 92,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,178 : 61,758 = 61,758 : x
  2. Step 2: Convert to fraction form
    41,178/61,758 = 61,758/x
  3. Step 3: Cross multiply
    41,178x = 61,758 × 61,758
  4. Step 4: Simplify right side
    41,178x = 3,814,050,564
  5. Step 5: Solve for x
    x = 3,814,050,564/41,178
  6. Step 6: Final answer
    x = 92,623.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.