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Finding the Third Proportional to 93,727.13 and 137,253.56

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Solution

The third proportional to 93,727.13 and 137,253.56 is: 200,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,727.13 : 137,253.56 = 137,253.56 : x
  2. Step 2: Convert to fraction form
    93,727.13/137,253.56 = 137,253.56/x
  3. Step 3: Cross multiply
    93,727.13x = 137,253.56 × 137,253.56
  4. Step 4: Simplify right side
    93,727.13x = 18,838,540,418.94
  5. Step 5: Solve for x
    x = 18,838,540,418.94/93,727.13
  6. Step 6: Final answer
    x = 200,993.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.