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Finding the Third Proportional to 75,200 and 105,232

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Solution

The third proportional to 75,200 and 105,232 is: 147,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,200 : 105,232 = 105,232 : x
  2. Step 2: Convert to fraction form
    75,200/105,232 = 105,232/x
  3. Step 3: Cross multiply
    75,200x = 105,232 × 105,232
  4. Step 4: Simplify right side
    75,200x = 11,073,773,824
  5. Step 5: Solve for x
    x = 11,073,773,824/75,200
  6. Step 6: Final answer
    x = 147,257.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.