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Finding the Third Proportional to 97,424 and 132,024

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Solution

The third proportional to 97,424 and 132,024 is: 178,912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,424 : 132,024 = 132,024 : x
  2. Step 2: Convert to fraction form
    97,424/132,024 = 132,024/x
  3. Step 3: Cross multiply
    97,424x = 132,024 × 132,024
  4. Step 4: Simplify right side
    97,424x = 17,430,336,576
  5. Step 5: Solve for x
    x = 17,430,336,576/97,424
  6. Step 6: Final answer
    x = 178,912.14

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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.