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Finding the Third Proportional to 74,936.25 and 156,800.25

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Solution

The third proportional to 74,936.25 and 156,800.25 is: 328,096.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,936.25 : 156,800.25 = 156,800.25 : x
  2. Step 2: Convert to fraction form
    74,936.25/156,800.25 = 156,800.25/x
  3. Step 3: Cross multiply
    74,936.25x = 156,800.25 × 156,800.25
  4. Step 4: Simplify right side
    74,936.25x = 24,586,318,400.06
  5. Step 5: Solve for x
    x = 24,586,318,400.06/74,936.25
  6. Step 6: Final answer
    x = 328,096.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.