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Finding the Third Proportional to 73,347 and 108,690

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Solution

The third proportional to 73,347 and 108,690 is: 161,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,347 : 108,690 = 108,690 : x
  2. Step 2: Convert to fraction form
    73,347/108,690 = 108,690/x
  3. Step 3: Cross multiply
    73,347x = 108,690 × 108,690
  4. Step 4: Simplify right side
    73,347x = 11,813,516,100
  5. Step 5: Solve for x
    x = 11,813,516,100/73,347
  6. Step 6: Final answer
    x = 161,063.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.