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Finding the Third Proportional to 85,051.50 and 183,103.13

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Solution

The third proportional to 85,051.50 and 183,103.13 is: 394,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,051.50 : 183,103.13 = 183,103.13 : x
  2. Step 2: Convert to fraction form
    85,051.50/183,103.13 = 183,103.13/x
  3. Step 3: Cross multiply
    85,051.50x = 183,103.13 × 183,103.13
  4. Step 4: Simplify right side
    85,051.50x = 33,526,754,384.77
  5. Step 5: Solve for x
    x = 33,526,754,384.77/85,051.50
  6. Step 6: Final answer
    x = 394,193.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.