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Finding the Third Proportional to 113,829.19 and 164,450.25

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Solution

The third proportional to 113,829.19 and 164,450.25 is: 237,583.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,829.19 : 164,450.25 = 164,450.25 : x
  2. Step 2: Convert to fraction form
    113,829.19/164,450.25 = 164,450.25/x
  3. Step 3: Cross multiply
    113,829.19x = 164,450.25 × 164,450.25
  4. Step 4: Simplify right side
    113,829.19x = 27,043,884,725.06
  5. Step 5: Solve for x
    x = 27,043,884,725.06/113,829.19
  6. Step 6: Final answer
    x = 237,583.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.