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Finding the Third Proportional to 69,832 and 98,734

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Solution

The third proportional to 69,832 and 98,734 is: 139,597.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,832 : 98,734 = 98,734 : x
  2. Step 2: Convert to fraction form
    69,832/98,734 = 98,734/x
  3. Step 3: Cross multiply
    69,832x = 98,734 × 98,734
  4. Step 4: Simplify right side
    69,832x = 9,748,402,756
  5. Step 5: Solve for x
    x = 9,748,402,756/69,832
  6. Step 6: Final answer
    x = 139,597.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.