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Finding the Third Proportional to 137,664.50 and 193,864.50

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Solution

The third proportional to 137,664.50 and 193,864.50 is: 273,007.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,664.50 : 193,864.50 = 193,864.50 : x
  2. Step 2: Convert to fraction form
    137,664.50/193,864.50 = 193,864.50/x
  3. Step 3: Cross multiply
    137,664.50x = 193,864.50 × 193,864.50
  4. Step 4: Simplify right side
    137,664.50x = 37,583,444,360.25
  5. Step 5: Solve for x
    x = 37,583,444,360.25/137,664.50
  6. Step 6: Final answer
    x = 273,007.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.