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Finding the Third Proportional to 72,483.75 and 108,387.75

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Solution

The third proportional to 72,483.75 and 108,387.75 is: 162,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,483.75 : 108,387.75 = 108,387.75 : x
  2. Step 2: Convert to fraction form
    72,483.75/108,387.75 = 108,387.75/x
  3. Step 3: Cross multiply
    72,483.75x = 108,387.75 × 108,387.75
  4. Step 4: Simplify right side
    72,483.75x = 11,747,904,350.06
  5. Step 5: Solve for x
    x = 11,747,904,350.06/72,483.75
  6. Step 6: Final answer
    x = 162,076.39

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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.