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Finding the Third Proportional to 116,277.75 and 164,577.38

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Solution

The third proportional to 116,277.75 and 164,577.38 is: 232,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,277.75 : 164,577.38 = 164,577.38 : x
  2. Step 2: Convert to fraction form
    116,277.75/164,577.38 = 164,577.38/x
  3. Step 3: Cross multiply
    116,277.75x = 164,577.38 × 164,577.38
  4. Step 4: Simplify right side
    116,277.75x = 27,085,712,361.89
  5. Step 5: Solve for x
    x = 27,085,712,361.89/116,277.75
  6. Step 6: Final answer
    x = 232,939.77

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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.