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Finding the Third Proportional to 85,309.50 and 133,813.50

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Solution

The third proportional to 85,309.50 and 133,813.50 is: 209,895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,309.50 : 133,813.50 = 133,813.50 : x
  2. Step 2: Convert to fraction form
    85,309.50/133,813.50 = 133,813.50/x
  3. Step 3: Cross multiply
    85,309.50x = 133,813.50 × 133,813.50
  4. Step 4: Simplify right side
    85,309.50x = 17,906,052,782.25
  5. Step 5: Solve for x
    x = 17,906,052,782.25/85,309.50
  6. Step 6: Final answer
    x = 209,895.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.