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Finding the Third Proportional to 85,406.50 and 181,901

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Solution

The third proportional to 85,406.50 and 181,901 is: 387,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,406.50 : 181,901 = 181,901 : x
  2. Step 2: Convert to fraction form
    85,406.50/181,901 = 181,901/x
  3. Step 3: Cross multiply
    85,406.50x = 181,901 × 181,901
  4. Step 4: Simplify right side
    85,406.50x = 33,087,973,801
  5. Step 5: Solve for x
    x = 33,087,973,801/85,406.50
  6. Step 6: Final answer
    x = 387,417.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.