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Finding the Third Proportional to 106,593 and 177,646.50

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Solution

The third proportional to 106,593 and 177,646.50 is: 296,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,593 : 177,646.50 = 177,646.50 : x
  2. Step 2: Convert to fraction form
    106,593/177,646.50 = 177,646.50/x
  3. Step 3: Cross multiply
    106,593x = 177,646.50 × 177,646.50
  4. Step 4: Simplify right side
    106,593x = 31,558,278,962.25
  5. Step 5: Solve for x
    x = 31,558,278,962.25/106,593
  6. Step 6: Final answer
    x = 296,063.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.