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Finding the Third Proportional to 69,195.75 and 151,594.50

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Solution

The third proportional to 69,195.75 and 151,594.50 is: 332,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,195.75 : 151,594.50 = 151,594.50 : x
  2. Step 2: Convert to fraction form
    69,195.75/151,594.50 = 151,594.50/x
  3. Step 3: Cross multiply
    69,195.75x = 151,594.50 × 151,594.50
  4. Step 4: Simplify right side
    69,195.75x = 22,980,892,430.25
  5. Step 5: Solve for x
    x = 22,980,892,430.25/69,195.75
  6. Step 6: Final answer
    x = 332,114.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.