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Finding the Third Proportional to 117,320 and 168,122

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Solution

The third proportional to 117,320 and 168,122 is: 240,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,320 : 168,122 = 168,122 : x
  2. Step 2: Convert to fraction form
    117,320/168,122 = 168,122/x
  3. Step 3: Cross multiply
    117,320x = 168,122 × 168,122
  4. Step 4: Simplify right side
    117,320x = 28,265,006,884
  5. Step 5: Solve for x
    x = 28,265,006,884/117,320
  6. Step 6: Final answer
    x = 240,922.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.