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Finding the Third Proportional to 40,042 and 82,712

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Solution

The third proportional to 40,042 and 82,712 is: 170,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,042 : 82,712 = 82,712 : x
  2. Step 2: Convert to fraction form
    40,042/82,712 = 82,712/x
  3. Step 3: Cross multiply
    40,042x = 82,712 × 82,712
  4. Step 4: Simplify right side
    40,042x = 6,841,274,944
  5. Step 5: Solve for x
    x = 6,841,274,944/40,042
  6. Step 6: Final answer
    x = 170,852.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.