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Finding the Third Proportional to 79,069.50 and 126,465

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Solution

The third proportional to 79,069.50 and 126,465 is: 202,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,069.50 : 126,465 = 126,465 : x
  2. Step 2: Convert to fraction form
    79,069.50/126,465 = 126,465/x
  3. Step 3: Cross multiply
    79,069.50x = 126,465 × 126,465
  4. Step 4: Simplify right side
    79,069.50x = 15,993,396,225
  5. Step 5: Solve for x
    x = 15,993,396,225/79,069.50
  6. Step 6: Final answer
    x = 202,270.11

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.