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Finding the Third Proportional to 69,741 and 98,253

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Solution

The third proportional to 69,741 and 98,253 is: 138,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,741 : 98,253 = 98,253 : x
  2. Step 2: Convert to fraction form
    69,741/98,253 = 98,253/x
  3. Step 3: Cross multiply
    69,741x = 98,253 × 98,253
  4. Step 4: Simplify right side
    69,741x = 9,653,652,009
  5. Step 5: Solve for x
    x = 9,653,652,009/69,741
  6. Step 6: Final answer
    x = 138,421.47

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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.