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Finding the Third Proportional to 97,834 and 139,529

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Solution

The third proportional to 97,834 and 139,529 is: 198,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,834 : 139,529 = 139,529 : x
  2. Step 2: Convert to fraction form
    97,834/139,529 = 139,529/x
  3. Step 3: Cross multiply
    97,834x = 139,529 × 139,529
  4. Step 4: Simplify right side
    97,834x = 19,468,341,841
  5. Step 5: Solve for x
    x = 19,468,341,841/97,834
  6. Step 6: Final answer
    x = 198,993.62

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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.