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Finding the Third Proportional to 106,422 and 160,416

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Solution

The third proportional to 106,422 and 160,416 is: 241,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,422 : 160,416 = 160,416 : x
  2. Step 2: Convert to fraction form
    106,422/160,416 = 160,416/x
  3. Step 3: Cross multiply
    106,422x = 160,416 × 160,416
  4. Step 4: Simplify right side
    106,422x = 25,733,293,056
  5. Step 5: Solve for x
    x = 25,733,293,056/106,422
  6. Step 6: Final answer
    x = 241,804.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.