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Finding the Third Proportional to 84,093.75 and 133,726.88

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Solution

The third proportional to 84,093.75 and 133,726.88 is: 212,654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,093.75 : 133,726.88 = 133,726.88 : x
  2. Step 2: Convert to fraction form
    84,093.75/133,726.88 = 133,726.88/x
  3. Step 3: Cross multiply
    84,093.75x = 133,726.88 × 133,726.88
  4. Step 4: Simplify right side
    84,093.75x = 17,882,877,097.27
  5. Step 5: Solve for x
    x = 17,882,877,097.27/84,093.75
  6. Step 6: Final answer
    x = 212,654.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.