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Finding the Third Proportional to 49,720 and 69,516

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Solution

The third proportional to 49,720 and 69,516 is: 97,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,720 : 69,516 = 69,516 : x
  2. Step 2: Convert to fraction form
    49,720/69,516 = 69,516/x
  3. Step 3: Cross multiply
    49,720x = 69,516 × 69,516
  4. Step 4: Simplify right side
    49,720x = 4,832,474,256
  5. Step 5: Solve for x
    x = 4,832,474,256/49,720
  6. Step 6: Final answer
    x = 97,193.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.