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Finding the Third Proportional to 71,902.50 and 108,859.50

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Solution

The third proportional to 71,902.50 and 108,859.50 is: 164,811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,902.50 : 108,859.50 = 108,859.50 : x
  2. Step 2: Convert to fraction form
    71,902.50/108,859.50 = 108,859.50/x
  3. Step 3: Cross multiply
    71,902.50x = 108,859.50 × 108,859.50
  4. Step 4: Simplify right side
    71,902.50x = 11,850,390,740.25
  5. Step 5: Solve for x
    x = 11,850,390,740.25/71,902.50
  6. Step 6: Final answer
    x = 164,811.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.