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Finding the Third Proportional to 106,732.50 and 167,425.50

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Solution

The third proportional to 106,732.50 and 167,425.50 is: 262,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,732.50 : 167,425.50 = 167,425.50 : x
  2. Step 2: Convert to fraction form
    106,732.50/167,425.50 = 167,425.50/x
  3. Step 3: Cross multiply
    106,732.50x = 167,425.50 × 167,425.50
  4. Step 4: Simplify right side
    106,732.50x = 28,031,298,050.25
  5. Step 5: Solve for x
    x = 28,031,298,050.25/106,732.50
  6. Step 6: Final answer
    x = 262,631.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.