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Finding the Third Proportional to 98,732 and 140,713

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Solution

The third proportional to 98,732 and 140,713 is: 200,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,732 : 140,713 = 140,713 : x
  2. Step 2: Convert to fraction form
    98,732/140,713 = 140,713/x
  3. Step 3: Cross multiply
    98,732x = 140,713 × 140,713
  4. Step 4: Simplify right side
    98,732x = 19,800,148,369
  5. Step 5: Solve for x
    x = 19,800,148,369/98,732
  6. Step 6: Final answer
    x = 200,544.39

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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.