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Finding the Third Proportional to 112,291 and 164,055

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Solution

The third proportional to 112,291 and 164,055 is: 239,681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,291 : 164,055 = 164,055 : x
  2. Step 2: Convert to fraction form
    112,291/164,055 = 164,055/x
  3. Step 3: Cross multiply
    112,291x = 164,055 × 164,055
  4. Step 4: Simplify right side
    112,291x = 26,914,043,025
  5. Step 5: Solve for x
    x = 26,914,043,025/112,291
  6. Step 6: Final answer
    x = 239,681.21

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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.