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Finding the Third Proportional to 84,577.50 and 183,733.50

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Solution

The third proportional to 84,577.50 and 183,733.50 is: 399,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,577.50 : 183,733.50 = 183,733.50 : x
  2. Step 2: Convert to fraction form
    84,577.50/183,733.50 = 183,733.50/x
  3. Step 3: Cross multiply
    84,577.50x = 183,733.50 × 183,733.50
  4. Step 4: Simplify right side
    84,577.50x = 33,757,999,022.25
  5. Step 5: Solve for x
    x = 33,757,999,022.25/84,577.50
  6. Step 6: Final answer
    x = 399,136.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.