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Finding the Third Proportional to 70,120.69 and 89,701.17

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Solution

The third proportional to 70,120.69 and 89,701.17 is: 114,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,120.69 : 89,701.17 = 89,701.17 : x
  2. Step 2: Convert to fraction form
    70,120.69/89,701.17 = 89,701.17/x
  3. Step 3: Cross multiply
    70,120.69x = 89,701.17 × 89,701.17
  4. Step 4: Simplify right side
    70,120.69x = 8,046,300,235.75
  5. Step 5: Solve for x
    x = 8,046,300,235.75/70,120.69
  6. Step 6: Final answer
    x = 114,749.31

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.