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Finding the Third Proportional to 67,720 and 103,090

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Solution

The third proportional to 67,720 and 103,090 is: 156,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,720 : 103,090 = 103,090 : x
  2. Step 2: Convert to fraction form
    67,720/103,090 = 103,090/x
  3. Step 3: Cross multiply
    67,720x = 103,090 × 103,090
  4. Step 4: Simplify right side
    67,720x = 10,627,548,100
  5. Step 5: Solve for x
    x = 10,627,548,100/67,720
  6. Step 6: Final answer
    x = 156,933.67

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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.