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Finding the Third Proportional to 72,330.75 and 108,425.25

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Solution

The third proportional to 72,330.75 and 108,425.25 is: 162,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,330.75 : 108,425.25 = 108,425.25 : x
  2. Step 2: Convert to fraction form
    72,330.75/108,425.25 = 108,425.25/x
  3. Step 3: Cross multiply
    72,330.75x = 108,425.25 × 108,425.25
  4. Step 4: Simplify right side
    72,330.75x = 11,756,034,837.56
  5. Step 5: Solve for x
    x = 11,756,034,837.56/72,330.75
  6. Step 6: Final answer
    x = 162,531.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.