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Finding the Third Proportional to 73,325 and 108,043

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Solution

The third proportional to 73,325 and 108,043 is: 159,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,325 : 108,043 = 108,043 : x
  2. Step 2: Convert to fraction form
    73,325/108,043 = 108,043/x
  3. Step 3: Cross multiply
    73,325x = 108,043 × 108,043
  4. Step 4: Simplify right side
    73,325x = 11,673,289,849
  5. Step 5: Solve for x
    x = 11,673,289,849/73,325
  6. Step 6: Final answer
    x = 159,199.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.