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Finding the Third Proportional to 72,189 and 108,598.50

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Solution

The third proportional to 72,189 and 108,598.50 is: 163,371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,189 : 108,598.50 = 108,598.50 : x
  2. Step 2: Convert to fraction form
    72,189/108,598.50 = 108,598.50/x
  3. Step 3: Cross multiply
    72,189x = 108,598.50 × 108,598.50
  4. Step 4: Simplify right side
    72,189x = 11,793,634,202.25
  5. Step 5: Solve for x
    x = 11,793,634,202.25/72,189
  6. Step 6: Final answer
    x = 163,371.62

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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.