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Finding the Third Proportional to 112,099.50 and 163,838.25

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Solution

The third proportional to 112,099.50 and 163,838.25 is: 239,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,099.50 : 163,838.25 = 163,838.25 : x
  2. Step 2: Convert to fraction form
    112,099.50/163,838.25 = 163,838.25/x
  3. Step 3: Cross multiply
    112,099.50x = 163,838.25 × 163,838.25
  4. Step 4: Simplify right side
    112,099.50x = 26,842,972,163.06
  5. Step 5: Solve for x
    x = 26,842,972,163.06/112,099.50
  6. Step 6: Final answer
    x = 239,456.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.