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Finding the Third Proportional to 67,687.50 and 146,106.75

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Solution

The third proportional to 67,687.50 and 146,106.75 is: 315,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,687.50 : 146,106.75 = 146,106.75 : x
  2. Step 2: Convert to fraction form
    67,687.50/146,106.75 = 146,106.75/x
  3. Step 3: Cross multiply
    67,687.50x = 146,106.75 × 146,106.75
  4. Step 4: Simplify right side
    67,687.50x = 21,347,182,395.56
  5. Step 5: Solve for x
    x = 21,347,182,395.56/67,687.50
  6. Step 6: Final answer
    x = 315,378.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.