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Finding the Third Proportional to 137,056.27 and 210,936.50

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Solution

The third proportional to 137,056.27 and 210,936.50 is: 324,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,056.27 : 210,936.50 = 210,936.50 : x
  2. Step 2: Convert to fraction form
    137,056.27/210,936.50 = 210,936.50/x
  3. Step 3: Cross multiply
    137,056.27x = 210,936.50 × 210,936.50
  4. Step 4: Simplify right side
    137,056.27x = 44,494,206,208.28
  5. Step 5: Solve for x
    x = 44,494,206,208.28/137,056.27
  6. Step 6: Final answer
    x = 324,641.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.