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Finding the Third Proportional to 128,866.50 and 193,538.25

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Solution

The third proportional to 128,866.50 and 193,538.25 is: 290,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,866.50 : 193,538.25 = 193,538.25 : x
  2. Step 2: Convert to fraction form
    128,866.50/193,538.25 = 193,538.25/x
  3. Step 3: Cross multiply
    128,866.50x = 193,538.25 × 193,538.25
  4. Step 4: Simplify right side
    128,866.50x = 37,457,054,213.06
  5. Step 5: Solve for x
    x = 37,457,054,213.06/128,866.50
  6. Step 6: Final answer
    x = 290,665.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.