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Finding the Third Proportional to 93,948 and 137,172

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Solution

The third proportional to 93,948 and 137,172 is: 200,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,948 : 137,172 = 137,172 : x
  2. Step 2: Convert to fraction form
    93,948/137,172 = 137,172/x
  3. Step 3: Cross multiply
    93,948x = 137,172 × 137,172
  4. Step 4: Simplify right side
    93,948x = 18,816,157,584
  5. Step 5: Solve for x
    x = 18,816,157,584/93,948
  6. Step 6: Final answer
    x = 200,282.68

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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.