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Finding the Third Proportional to 81,328.50 and 125,232.75

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Solution

The third proportional to 81,328.50 and 125,232.75 is: 192,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,328.50 : 125,232.75 = 125,232.75 : x
  2. Step 2: Convert to fraction form
    81,328.50/125,232.75 = 125,232.75/x
  3. Step 3: Cross multiply
    81,328.50x = 125,232.75 × 125,232.75
  4. Step 4: Simplify right side
    81,328.50x = 15,683,241,672.56
  5. Step 5: Solve for x
    x = 15,683,241,672.56/81,328.50
  6. Step 6: Final answer
    x = 192,838.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.