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Finding the Third Proportional to 40,056 and 92,727

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Solution

The third proportional to 40,056 and 92,727 is: 214,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,056 : 92,727 = 92,727 : x
  2. Step 2: Convert to fraction form
    40,056/92,727 = 92,727/x
  3. Step 3: Cross multiply
    40,056x = 92,727 × 92,727
  4. Step 4: Simplify right side
    40,056x = 8,598,296,529
  5. Step 5: Solve for x
    x = 8,598,296,529/40,056
  6. Step 6: Final answer
    x = 214,656.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.