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Finding the Third Proportional to 35,206.50 and 73,325.25

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Solution

The third proportional to 35,206.50 and 73,325.25 is: 152,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,206.50 : 73,325.25 = 73,325.25 : x
  2. Step 2: Convert to fraction form
    35,206.50/73,325.25 = 73,325.25/x
  3. Step 3: Cross multiply
    35,206.50x = 73,325.25 × 73,325.25
  4. Step 4: Simplify right side
    35,206.50x = 5,376,592,287.56
  5. Step 5: Solve for x
    x = 5,376,592,287.56/35,206.50
  6. Step 6: Final answer
    x = 152,715.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.