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Finding the Third Proportional to 91,537.50 and 133,107

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Solution

The third proportional to 91,537.50 and 133,107 is: 193,554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,537.50 : 133,107 = 133,107 : x
  2. Step 2: Convert to fraction form
    91,537.50/133,107 = 133,107/x
  3. Step 3: Cross multiply
    91,537.50x = 133,107 × 133,107
  4. Step 4: Simplify right side
    91,537.50x = 17,717,473,449
  5. Step 5: Solve for x
    x = 17,717,473,449/91,537.50
  6. Step 6: Final answer
    x = 193,554.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.