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Finding the Third Proportional to 106,813.88 and 166,053

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Solution

The third proportional to 106,813.88 and 166,053 is: 258,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,813.88 : 166,053 = 166,053 : x
  2. Step 2: Convert to fraction form
    106,813.88/166,053 = 166,053/x
  3. Step 3: Cross multiply
    106,813.88x = 166,053 × 166,053
  4. Step 4: Simplify right side
    106,813.88x = 27,573,598,809
  5. Step 5: Solve for x
    x = 27,573,598,809/106,813.88
  6. Step 6: Final answer
    x = 258,146.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.