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Finding the Third Proportional to 85,529.36 and 123,201

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Solution

The third proportional to 85,529.36 and 123,201 is: 177,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,529.36 : 123,201 = 123,201 : x
  2. Step 2: Convert to fraction form
    85,529.36/123,201 = 123,201/x
  3. Step 3: Cross multiply
    85,529.36x = 123,201 × 123,201
  4. Step 4: Simplify right side
    85,529.36x = 15,178,486,401
  5. Step 5: Solve for x
    x = 15,178,486,401/85,529.36
  6. Step 6: Final answer
    x = 177,465.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.