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Finding the Third Proportional to 93,916 and 127,914

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Solution

The third proportional to 93,916 and 127,914 is: 174,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,916 : 127,914 = 127,914 : x
  2. Step 2: Convert to fraction form
    93,916/127,914 = 127,914/x
  3. Step 3: Cross multiply
    93,916x = 127,914 × 127,914
  4. Step 4: Simplify right side
    93,916x = 16,361,991,396
  5. Step 5: Solve for x
    x = 16,361,991,396/93,916
  6. Step 6: Final answer
    x = 174,219.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.