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Finding the Third Proportional to 110,197.50 and 163,675.50

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Solution

The third proportional to 110,197.50 and 163,675.50 is: 243,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,197.50 : 163,675.50 = 163,675.50 : x
  2. Step 2: Convert to fraction form
    110,197.50/163,675.50 = 163,675.50/x
  3. Step 3: Cross multiply
    110,197.50x = 163,675.50 × 163,675.50
  4. Step 4: Simplify right side
    110,197.50x = 26,789,669,300.25
  5. Step 5: Solve for x
    x = 26,789,669,300.25/110,197.50
  6. Step 6: Final answer
    x = 243,105.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.