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Finding the Third Proportional to 85,125.94 and 133,551.28

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Solution

The third proportional to 85,125.94 and 133,551.28 is: 209,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,125.94 : 133,551.28 = 133,551.28 : x
  2. Step 2: Convert to fraction form
    85,125.94/133,551.28 = 133,551.28/x
  3. Step 3: Cross multiply
    85,125.94x = 133,551.28 × 133,551.28
  4. Step 4: Simplify right side
    85,125.94x = 17,835,944,723.52
  5. Step 5: Solve for x
    x = 17,835,944,723.52/85,125.94
  6. Step 6: Final answer
    x = 209,524.21

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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.