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Finding the Third Proportional to 113,868.75 and 162,208.50

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Solution

The third proportional to 113,868.75 and 162,208.50 is: 231,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,868.75 : 162,208.50 = 162,208.50 : x
  2. Step 2: Convert to fraction form
    113,868.75/162,208.50 = 162,208.50/x
  3. Step 3: Cross multiply
    113,868.75x = 162,208.50 × 162,208.50
  4. Step 4: Simplify right side
    113,868.75x = 26,311,597,472.25
  5. Step 5: Solve for x
    x = 26,311,597,472.25/113,868.75
  6. Step 6: Final answer
    x = 231,069.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.