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Finding the Third Proportional to 70,669.50 and 99,042

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Solution

The third proportional to 70,669.50 and 99,042 is: 138,805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,669.50 : 99,042 = 99,042 : x
  2. Step 2: Convert to fraction form
    70,669.50/99,042 = 99,042/x
  3. Step 3: Cross multiply
    70,669.50x = 99,042 × 99,042
  4. Step 4: Simplify right side
    70,669.50x = 9,809,317,764
  5. Step 5: Solve for x
    x = 9,809,317,764/70,669.50
  6. Step 6: Final answer
    x = 138,805.54

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.