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Finding the Third Proportional to 116,576 and 171,038

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Solution

The third proportional to 116,576 and 171,038 is: 250,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,576 : 171,038 = 171,038 : x
  2. Step 2: Convert to fraction form
    116,576/171,038 = 171,038/x
  3. Step 3: Cross multiply
    116,576x = 171,038 × 171,038
  4. Step 4: Simplify right side
    116,576x = 29,253,997,444
  5. Step 5: Solve for x
    x = 29,253,997,444/116,576
  6. Step 6: Final answer
    x = 250,943.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.