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Finding the Third Proportional to 75,027 and 177,109.50

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Solution

The third proportional to 75,027 and 177,109.50 is: 418,086.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,027 : 177,109.50 = 177,109.50 : x
  2. Step 2: Convert to fraction form
    75,027/177,109.50 = 177,109.50/x
  3. Step 3: Cross multiply
    75,027x = 177,109.50 × 177,109.50
  4. Step 4: Simplify right side
    75,027x = 31,367,774,990.25
  5. Step 5: Solve for x
    x = 31,367,774,990.25/75,027
  6. Step 6: Final answer
    x = 418,086.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.