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Finding the Third Proportional to 128,056.69 and 187,933.13

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Solution

The third proportional to 128,056.69 and 187,933.13 is: 275,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,056.69 : 187,933.13 = 187,933.13 : x
  2. Step 2: Convert to fraction form
    128,056.69/187,933.13 = 187,933.13/x
  3. Step 3: Cross multiply
    128,056.69x = 187,933.13 × 187,933.13
  4. Step 4: Simplify right side
    128,056.69x = 35,318,859,472.27
  5. Step 5: Solve for x
    x = 35,318,859,472.27/128,056.69
  6. Step 6: Final answer
    x = 275,806.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.