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Finding the Third Proportional to 123,019.75 and 183,887.50

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Solution

The third proportional to 123,019.75 and 183,887.50 is: 274,871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,019.75 : 183,887.50 = 183,887.50 : x
  2. Step 2: Convert to fraction form
    123,019.75/183,887.50 = 183,887.50/x
  3. Step 3: Cross multiply
    123,019.75x = 183,887.50 × 183,887.50
  4. Step 4: Simplify right side
    123,019.75x = 33,814,612,656.25
  5. Step 5: Solve for x
    x = 33,814,612,656.25/123,019.75
  6. Step 6: Final answer
    x = 274,871.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.