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Finding the Third Proportional to 76,737.94 and 180,893.25

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Solution

The third proportional to 76,737.94 and 180,893.25 is: 426,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,737.94 : 180,893.25 = 180,893.25 : x
  2. Step 2: Convert to fraction form
    76,737.94/180,893.25 = 180,893.25/x
  3. Step 3: Cross multiply
    76,737.94x = 180,893.25 × 180,893.25
  4. Step 4: Simplify right side
    76,737.94x = 32,722,367,895.56
  5. Step 5: Solve for x
    x = 32,722,367,895.56/76,737.94
  6. Step 6: Final answer
    x = 426,417.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.