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Finding the Third Proportional to 76,200.75 and 118,541.25

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Solution

The third proportional to 76,200.75 and 118,541.25 is: 184,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,200.75 : 118,541.25 = 118,541.25 : x
  2. Step 2: Convert to fraction form
    76,200.75/118,541.25 = 118,541.25/x
  3. Step 3: Cross multiply
    76,200.75x = 118,541.25 × 118,541.25
  4. Step 4: Simplify right side
    76,200.75x = 14,052,027,951.56
  5. Step 5: Solve for x
    x = 14,052,027,951.56/76,200.75
  6. Step 6: Final answer
    x = 184,408.00

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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.