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Finding the Third Proportional to 93,606 and 127,024

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Solution

The third proportional to 93,606 and 127,024 is: 172,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,606 : 127,024 = 127,024 : x
  2. Step 2: Convert to fraction form
    93,606/127,024 = 127,024/x
  3. Step 3: Cross multiply
    93,606x = 127,024 × 127,024
  4. Step 4: Simplify right side
    93,606x = 16,135,096,576
  5. Step 5: Solve for x
    x = 16,135,096,576/93,606
  6. Step 6: Final answer
    x = 172,372.46

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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.