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Finding the Third Proportional to 50,385.38 and 78,644.25

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Solution

The third proportional to 50,385.38 and 78,644.25 is: 122,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,385.38 : 78,644.25 = 78,644.25 : x
  2. Step 2: Convert to fraction form
    50,385.38/78,644.25 = 78,644.25/x
  3. Step 3: Cross multiply
    50,385.38x = 78,644.25 × 78,644.25
  4. Step 4: Simplify right side
    50,385.38x = 6,184,918,058.06
  5. Step 5: Solve for x
    x = 6,184,918,058.06/50,385.38
  6. Step 6: Final answer
    x = 122,752.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.