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Finding the Third Proportional to 117,536 and 171,380

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Solution

The third proportional to 117,536 and 171,380 is: 249,890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,536 : 171,380 = 171,380 : x
  2. Step 2: Convert to fraction form
    117,536/171,380 = 171,380/x
  3. Step 3: Cross multiply
    117,536x = 171,380 × 171,380
  4. Step 4: Simplify right side
    117,536x = 29,371,104,400
  5. Step 5: Solve for x
    x = 29,371,104,400/117,536
  6. Step 6: Final answer
    x = 249,890.28

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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.