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Finding the Third Proportional to 116,250 and 164,539

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Solution

The third proportional to 116,250 and 164,539 is: 232,886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,250 : 164,539 = 164,539 : x
  2. Step 2: Convert to fraction form
    116,250/164,539 = 164,539/x
  3. Step 3: Cross multiply
    116,250x = 164,539 × 164,539
  4. Step 4: Simplify right side
    116,250x = 27,073,082,521
  5. Step 5: Solve for x
    x = 27,073,082,521/116,250
  6. Step 6: Final answer
    x = 232,886.73

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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.