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Finding the Third Proportional to 63,497 and 139,529

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Solution

The third proportional to 63,497 and 139,529 is: 306,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,497 : 139,529 = 139,529 : x
  2. Step 2: Convert to fraction form
    63,497/139,529 = 139,529/x
  3. Step 3: Cross multiply
    63,497x = 139,529 × 139,529
  4. Step 4: Simplify right side
    63,497x = 19,468,341,841
  5. Step 5: Solve for x
    x = 19,468,341,841/63,497
  6. Step 6: Final answer
    x = 306,602.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.