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Finding the Third Proportional to 116,247.45 and 164,535.26

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Solution

The third proportional to 116,247.45 and 164,535.26 is: 232,881.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,247.45 : 164,535.26 = 164,535.26 : x
  2. Step 2: Convert to fraction form
    116,247.45/164,535.26 = 164,535.26/x
  3. Step 3: Cross multiply
    116,247.45x = 164,535.26 × 164,535.26
  4. Step 4: Simplify right side
    116,247.45x = 27,071,851,063.43
  5. Step 5: Solve for x
    x = 27,071,851,063.43/116,247.45
  6. Step 6: Final answer
    x = 232,881.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.