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Finding the Third Proportional to 91,732.50 and 135,897.75

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Solution

The third proportional to 91,732.50 and 135,897.75 is: 201,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,732.50 : 135,897.75 = 135,897.75 : x
  2. Step 2: Convert to fraction form
    91,732.50/135,897.75 = 135,897.75/x
  3. Step 3: Cross multiply
    91,732.50x = 135,897.75 × 135,897.75
  4. Step 4: Simplify right side
    91,732.50x = 18,468,198,455.06
  5. Step 5: Solve for x
    x = 18,468,198,455.06/91,732.50
  6. Step 6: Final answer
    x = 201,326.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.