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Finding the Third Proportional to 70,206.75 and 104,901.75

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Solution

The third proportional to 70,206.75 and 104,901.75 is: 156,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,206.75 : 104,901.75 = 104,901.75 : x
  2. Step 2: Convert to fraction form
    70,206.75/104,901.75 = 104,901.75/x
  3. Step 3: Cross multiply
    70,206.75x = 104,901.75 × 104,901.75
  4. Step 4: Simplify right side
    70,206.75x = 11,004,377,153.06
  5. Step 5: Solve for x
    x = 11,004,377,153.06/70,206.75
  6. Step 6: Final answer
    x = 156,742.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.