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Finding the Third Proportional to 40,057 and 92,729.50

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Solution

The third proportional to 40,057 and 92,729.50 is: 214,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,057 : 92,729.50 = 92,729.50 : x
  2. Step 2: Convert to fraction form
    40,057/92,729.50 = 92,729.50/x
  3. Step 3: Cross multiply
    40,057x = 92,729.50 × 92,729.50
  4. Step 4: Simplify right side
    40,057x = 8,598,760,170.25
  5. Step 5: Solve for x
    x = 8,598,760,170.25/40,057
  6. Step 6: Final answer
    x = 214,663.11

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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.