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Finding the Third Proportional to 95,293.50 and 125,309.25

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Solution

The third proportional to 95,293.50 and 125,309.25 is: 164,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,293.50 : 125,309.25 = 125,309.25 : x
  2. Step 2: Convert to fraction form
    95,293.50/125,309.25 = 125,309.25/x
  3. Step 3: Cross multiply
    95,293.50x = 125,309.25 × 125,309.25
  4. Step 4: Simplify right side
    95,293.50x = 15,702,408,135.56
  5. Step 5: Solve for x
    x = 15,702,408,135.56/95,293.50
  6. Step 6: Final answer
    x = 164,779.42

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.