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Finding the Third Proportional to 70,715 and 100,240

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Solution

The third proportional to 70,715 and 100,240 is: 142,092.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,715 : 100,240 = 100,240 : x
  2. Step 2: Convert to fraction form
    70,715/100,240 = 100,240/x
  3. Step 3: Cross multiply
    70,715x = 100,240 × 100,240
  4. Step 4: Simplify right side
    70,715x = 10,048,057,600
  5. Step 5: Solve for x
    x = 10,048,057,600/70,715
  6. Step 6: Final answer
    x = 142,092.31

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.