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Finding the Third Proportional to 40,426 and 85,966

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Solution

The third proportional to 40,426 and 85,966 is: 182,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,426 : 85,966 = 85,966 : x
  2. Step 2: Convert to fraction form
    40,426/85,966 = 85,966/x
  3. Step 3: Cross multiply
    40,426x = 85,966 × 85,966
  4. Step 4: Simplify right side
    40,426x = 7,390,153,156
  5. Step 5: Solve for x
    x = 7,390,153,156/40,426
  6. Step 6: Final answer
    x = 182,806.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.