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Finding the Third Proportional to 117,552 and 171,404

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Solution

The third proportional to 117,552 and 171,404 is: 249,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,552 : 171,404 = 171,404 : x
  2. Step 2: Convert to fraction form
    117,552/171,404 = 171,404/x
  3. Step 3: Cross multiply
    117,552x = 171,404 × 171,404
  4. Step 4: Simplify right side
    117,552x = 29,379,331,216
  5. Step 5: Solve for x
    x = 29,379,331,216/117,552
  6. Step 6: Final answer
    x = 249,926.26

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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.