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Finding the Third Proportional to 69,196 and 98,610

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Solution

The third proportional to 69,196 and 98,610 is: 140,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,196 : 98,610 = 98,610 : x
  2. Step 2: Convert to fraction form
    69,196/98,610 = 98,610/x
  3. Step 3: Cross multiply
    69,196x = 98,610 × 98,610
  4. Step 4: Simplify right side
    69,196x = 9,723,932,100
  5. Step 5: Solve for x
    x = 9,723,932,100/69,196
  6. Step 6: Final answer
    x = 140,527.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.