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Finding the Third Proportional to 70,071 and 108,791.50

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Solution

The third proportional to 70,071 and 108,791.50 is: 168,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,071 : 108,791.50 = 108,791.50 : x
  2. Step 2: Convert to fraction form
    70,071/108,791.50 = 108,791.50/x
  3. Step 3: Cross multiply
    70,071x = 108,791.50 × 108,791.50
  4. Step 4: Simplify right side
    70,071x = 11,835,590,472.25
  5. Step 5: Solve for x
    x = 11,835,590,472.25/70,071
  6. Step 6: Final answer
    x = 168,908.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.