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Finding the Third Proportional to 73,539 and 96,777

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Solution

The third proportional to 73,539 and 96,777 is: 127,358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,539 : 96,777 = 96,777 : x
  2. Step 2: Convert to fraction form
    73,539/96,777 = 96,777/x
  3. Step 3: Cross multiply
    73,539x = 96,777 × 96,777
  4. Step 4: Simplify right side
    73,539x = 9,365,787,729
  5. Step 5: Solve for x
    x = 9,365,787,729/73,539
  6. Step 6: Final answer
    x = 127,358.11

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.