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Finding the Third Proportional to 50,169 and 68,332.50

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Solution

The third proportional to 50,169 and 68,332.50 is: 93,072.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,169 : 68,332.50 = 68,332.50 : x
  2. Step 2: Convert to fraction form
    50,169/68,332.50 = 68,332.50/x
  3. Step 3: Cross multiply
    50,169x = 68,332.50 × 68,332.50
  4. Step 4: Simplify right side
    50,169x = 4,669,330,556.25
  5. Step 5: Solve for x
    x = 4,669,330,556.25/50,169
  6. Step 6: Final answer
    x = 93,072.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.