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Finding the Third Proportional to 40,246 and 87,971

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Solution

The third proportional to 40,246 and 87,971 is: 192,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,246 : 87,971 = 87,971 : x
  2. Step 2: Convert to fraction form
    40,246/87,971 = 87,971/x
  3. Step 3: Cross multiply
    40,246x = 87,971 × 87,971
  4. Step 4: Simplify right side
    40,246x = 7,738,896,841
  5. Step 5: Solve for x
    x = 7,738,896,841/40,246
  6. Step 6: Final answer
    x = 192,289.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.