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Finding the Third Proportional to 69,194 and 98,607

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Solution

The third proportional to 69,194 and 98,607 is: 140,522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,194 : 98,607 = 98,607 : x
  2. Step 2: Convert to fraction form
    69,194/98,607 = 98,607/x
  3. Step 3: Cross multiply
    69,194x = 98,607 × 98,607
  4. Step 4: Simplify right side
    69,194x = 9,723,340,449
  5. Step 5: Solve for x
    x = 9,723,340,449/69,194
  6. Step 6: Final answer
    x = 140,522.88

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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.