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Finding the Third Proportional to 132,705 and 201,163.50

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Solution

The third proportional to 132,705 and 201,163.50 is: 304,937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,705 : 201,163.50 = 201,163.50 : x
  2. Step 2: Convert to fraction form
    132,705/201,163.50 = 201,163.50/x
  3. Step 3: Cross multiply
    132,705x = 201,163.50 × 201,163.50
  4. Step 4: Simplify right side
    132,705x = 40,466,753,732.25
  5. Step 5: Solve for x
    x = 40,466,753,732.25/132,705
  6. Step 6: Final answer
    x = 304,937.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.