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Finding the Third Proportional to 85,077 and 125,158.50

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Solution

The third proportional to 85,077 and 125,158.50 is: 184,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,077 : 125,158.50 = 125,158.50 : x
  2. Step 2: Convert to fraction form
    85,077/125,158.50 = 125,158.50/x
  3. Step 3: Cross multiply
    85,077x = 125,158.50 × 125,158.50
  4. Step 4: Simplify right side
    85,077x = 15,664,650,122.25
  5. Step 5: Solve for x
    x = 15,664,650,122.25/85,077
  6. Step 6: Final answer
    x = 184,123.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.