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Finding the Third Proportional to 106,972.50 and 160,125

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Solution

The third proportional to 106,972.50 and 160,125 is: 239,687.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,972.50 : 160,125 = 160,125 : x
  2. Step 2: Convert to fraction form
    106,972.50/160,125 = 160,125/x
  3. Step 3: Cross multiply
    106,972.50x = 160,125 × 160,125
  4. Step 4: Simplify right side
    106,972.50x = 25,640,015,625
  5. Step 5: Solve for x
    x = 25,640,015,625/106,972.50
  6. Step 6: Final answer
    x = 239,687.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.