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Finding the Third Proportional to 117,560 and 171,416

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Solution

The third proportional to 117,560 and 171,416 is: 249,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,560 : 171,416 = 171,416 : x
  2. Step 2: Convert to fraction form
    117,560/171,416 = 171,416/x
  3. Step 3: Cross multiply
    117,560x = 171,416 × 171,416
  4. Step 4: Simplify right side
    117,560x = 29,383,445,056
  5. Step 5: Solve for x
    x = 29,383,445,056/117,560
  6. Step 6: Final answer
    x = 249,944.24

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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.