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Finding the Third Proportional to 40,761 and 85,946

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Solution

The third proportional to 40,761 and 85,946 is: 181,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,761 : 85,946 = 85,946 : x
  2. Step 2: Convert to fraction form
    40,761/85,946 = 85,946/x
  3. Step 3: Cross multiply
    40,761x = 85,946 × 85,946
  4. Step 4: Simplify right side
    40,761x = 7,386,714,916
  5. Step 5: Solve for x
    x = 7,386,714,916/40,761
  6. Step 6: Final answer
    x = 181,220.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.